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2X^2 - 11X - 21 = 0
X = -b +/- sqrt(b^2 -4ac)/2a
a = 2
b = - 11
c = - 21
X = -(-11) +/- sqrt[(-11)^2 - 4(2)(-21)]/2(2)
X = [11 +/- sqrt( 289)]/4
X = [11 +/- 17]/4
X = 7
X = - 3/2
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What is the quadratic formula for?
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
What does quadratic formula find?
When an equation cannot be solved for "x" to find the zeroes, the quadratic formula can be used instead for the same purpose.
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
25X2 plus 20X plus 4 equals 0?
This quadratic equation can be solved by three methods: (a) factoring (b) completing the square (c) using the quadratic equation formula.Factoring:25x2+20x+4 = 0(5+2)(5x+2) = 0Solution: x = -2/5 also x = -2/5 (they both have equal roots)
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
What is equadtratic equation?
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
What is the quadratic formula for?
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
What is x2 plus 9x-3 equals 0?
It is a quadratic equation that can be solved by using the quadratic equation formula whereas x = -9.321825 or x = 0.321825 both given to 6 decimal places
In the equation y equals 2x2 - 5x - 18 which is a value of x when y equals 0?
x = 9/2 or x = -2 Solved by using the quadratic equation formula.
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
How do you solve x squared minus ten x plus six equals zero?
It can be solved by using the quadratic equation formula.
What is the quadratic of this equation x2 plus 11x plus 11 equals 7x plus 9?
x2+11x+11 = 7x+9 x2+11x-7x+11-9 = 0 x2+4x+2 = 0 The above quadratic equation can be solved by using the quadratic equation formula and it will have two solutions.
How do you solve 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
What is the answer of 4x2plus9equal12x?
It is a quadratic equation and when solved it has equal roots of 3/2 or 1.5
What does it mean in algebra to complete the square?
A quadratic equation can be solved by completing the square which gives more information about the properties of the parabola than with the quadratic equation formula.
What is the history of quadratic equations?
at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School
Is 5x-2y plus 10 equals 0 is a quadratic equation?
No. It is a linear equation (y = 5/2 x + 5). A quadratic equation requires a squared term, for example y = x2 + 5x + 6; this can be solved for x given y = 0, as in solving x2 + 5x + 6 = 0.
