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What is a quadratic eqation?
A quadratic equation is an equation where the highest exponent on the variable is 2. For example, the equation, y=2x2+3x-2 is a quadratic equation. The equation y=2x is not quadratic because the highest exponent on x is 1. (If there is no exponent on an x, then the exponent is 1.) The equation, y=x3+3x2-2 is not quadratic because the highest exponent is three. On a graph, a quadratic equation looks like a U or and upside down U. Here are some more example of quadratic equations: y=x2 y=3x2+2x-3 y=x2+5
How can you determine if a function is a quadratic function from its equation?
If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.
Why quadratic equation called quadratic?
Because it is in the form of ax^2+bx+c=0 Because quadratic means squared hence ax squared + bx +c=0 has a squared number as it's highest term. This is in fact the area of a square of a side "x" is x^2, so every equation having variable with exponent 2 become quadratic equation.
What type of equation results in a graph of a parabola?
A parabola looks like a frowning face :( or a smiling face :) The type of equation that would give you a parabola is called a Quadratic equation. Quadratic equations have x^2 as the highest exponent in the equation. ex: x squared + 2x + 1
Do quadratic equations have exponents?
Yes. A quadratic is a second degree equation, one in which the highest power is 2 (i.e. squared).
What the highest exponent of the leading variable in a quadratic equation?
2.
What is a quadratic eqation?
A quadratic equation is an equation where the highest exponent on the variable is 2. For example, the equation, y=2x2+3x-2 is a quadratic equation. The equation y=2x is not quadratic because the highest exponent on x is 1. (If there is no exponent on an x, then the exponent is 1.) The equation, y=x3+3x2-2 is not quadratic because the highest exponent is three. On a graph, a quadratic equation looks like a U or and upside down U. Here are some more example of quadratic equations: y=x2 y=3x2+2x-3 y=x2+5
How can you determine if a function is a quadratic function from its equation?
If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.
What is the highest exponent of the leading variable in a linear equation?
1
Why quadratic equation called quadratic?
Because it is in the form of ax^2+bx+c=0 Because quadratic means squared hence ax squared + bx +c=0 has a squared number as it's highest term. This is in fact the area of a square of a side "x" is x^2, so every equation having variable with exponent 2 become quadratic equation.
How many roots does a quadratic equation in one variable have?
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
Is 4x plus 5c plus 10c-3x equals 0a quadratic equation?
NO,because in quadratic equation highest power of a variable is 2. e.x. 4x2-20x+10=0.
What type of equation results in a graph of a parabola?
A parabola looks like a frowning face :( or a smiling face :) The type of equation that would give you a parabola is called a Quadratic equation. Quadratic equations have x^2 as the highest exponent in the equation. ex: x squared + 2x + 1
How do you know if a equation is a quadratic one?
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.
What is the highest exponent in a polynomial?
That varies from polynomial to polynomial. Whatever the highest exponent is is called the "degree", so a quadratic like x2 + 2x + 8 has degree 2.
An equation with a degree of 2?
An example of an equation with a degree of 2 is (y = 3x^2 + 2x + 1). This is a quadratic equation because the highest power of (x) is 2.
The quadratic formula can be used to solve an equation only if the highest degree in the equation is?
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
