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Why quadratic equation is called quadratic?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0
What is completing the square used for?
Completing the square is a method used to solve a quadratic function. This is a handy method when there are two instances of the same variable in the function.
What are at least four ways in how to solve a quadratic equation?
1 By factorizing it 2 By sketching it on the Cartesian plane 3 By finding the difference of two squares 4 By completing the square 5 By using the quadratic equation formula 6 By finding its discriminant to see if it has any solutions at all
Which the easy way the method of factoring or the solving the quadratic equation?
By knowing how to use the quadratic equation formula.
How can you use substitution method to solve a system of equations that does not have a variable with a coefficient of 1 or -1?
2
Completing the square method?
2x² - 4x +3 = 2(x² - 2x) + 3 = 2(x² - 2x + (2/2)²) + 3 - [2*(2/2)²] (you add (2/2)² in equation. you need to subtract same amount [2*(2/2)²] in equation.) = 2(x² - 2x + 1) + 3 - 2 = 2(x² - 2x + 1) + 1 = 2(x -1)² + 1 if you are still confused, I want you to follow the related link that explains the concept of completing the square clearly.
What is the third step in solving this equation by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.
What is the first step in solving a quadratic equation by using the squared root method?
get a life and hobbies then this question wont even be relevent
How does the method for solving equations with fractional or decimal coefficient and constants with the method for solving equation a with integer coeffients and constants?
Fractional u multiply and decimal u multiply and integers u minuse or add them
Why quadratic equation is called quadratic?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0
Can all quadratics be solved by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
What is the centre of a circle and its radius on the Cartesian plane whose equation is x squared plus y squared equals 12x -10y -12 showing key aspects of work?
Equation of the circle is: x2 + y2 = 12x - 10y - 12 which can written as: x2 - 12x + y2 + 10y = -12 Now by the method of completing square we can get the coordinates of the center of the circle: Coefficient of x2 = 1 Coefficient of x = -12 = -2(6) So -12x can be written as -2(x)(6) ...(1) It is clear that by adding suitable term we obtain (a - b)2 or (a + b)2 The term -2ab is in the expansion of (a - b)2 so: From 1 it is clear that b is 6. So we need to add 62 to both sides of the equation. Coefficient of y2 = 1 Coefficient of y = 10 = 2(5) So 10y can be written as 2(y)(5) ...(2) The term 2ab is in the expansion of (a + b)2 so: From 2 it is clear that b is 5. So we need to add 52 to both sides of the equation. The equation of circle, now, becomes: x2 - 12x + 62 + y2 + 10y + 52 = -12 + 62 + 52 (x - 6)2 + (y + 5)2 = 49 (x - 6)2 + (y + 5)2 = 72 (x - 6)2 + (y - (-5))2 = 72 So the coordinates of the center is 6,-5 and its radius is 7 units.
What is completing the square used for?
Completing the square is a method used to solve a quadratic function. This is a handy method when there are two instances of the same variable in the function.
How do you complete the square x squared plus 12x plus?
36.1. You take the coefficient of x : = 122. Halve it : = 63. Then square it : = 364. Add it.This gives x2 + 12x + 36 = (x + 6)2The above method only works if the coefficient of x2 is 1. If it is not then the processs is slightly more complicated.
Where does the name completing the square come from?
The first step, in solving a quadratic equation in a variable x using this method, is to complete the square defined by the terms in x2 and x, by adding and subtracting a suitable constant.
What is the difference in seismic coefficient method and response spectrum method in earthquake analysis?
In seismic coefficient method, seismic forces are calculated using a single coefficient that is applied uniformly to the structure based on its weight. In contrast, response spectrum method considers the dynamic response of the structure by using a spectrum that represents the maximum response of a range of single-degree-of-freedom systems to the ground motion. Response spectrum method provides a more detailed and accurate analysis of the structure's response to earthquakes compared to the simplified seismic coefficient method.
How do you describe the resultant computed using the graphical method from that of the component method?
You describe the resultant computed using the graphical method by connecting the vectors head to tail. The difference from the tail of the first one to the head of the last one is the resultant vector. To determine resultant vector with the component method you use the formula x(squared) + y(squared) = R (squared).
