Table of Contents
Basic Quadratic Equation Questions
A quadratic equation is an equation in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. The solutions to a quadratic equation are the x-values that make the equation true.
To solve a quadratic equation, you need to use the Quadratic Formula. The Quadratic Formula is:
x = −b ± √b2 − 4ac
2a
For example, to solve the equation x2 − 5x − 6 = 0, you would first rewrite it as x2 − 5x = 6. Then, you would use the Quadratic Formula to find the solutions.
x = −5 ± √(52 − 4(1)(6))
2(1)
x = −5 ± √25
2
x = −5 ± 5
2
x = −5 ± 1
2
Definition of Quadratic Equations
A quadratic equation is an equation in which the highest power of the variable is 2. Quadratic equations can be solved by using the Quadratic Formula.
Roots of a Quadratic Equation
A quadratic equation is an equation in the form $ax^2+bx+c=0$, where $a$, $b$, and $c$ are real numbers and $x$ is a real number. The roots of a quadratic equation are the values of $x$ that make the equation true.
Quadratic Equation Formula
A quadratic equation is an equation in which the highest power of the variable is 2. The quadratic equation formula is used to solve quadratic equations.
The quadratic equation formula is:
x = [-b ± √(b² – 4ac)]/2a
Where:
x is the solution to the equation
-b is the coefficient of the x² term
√(b² – 4ac) is the square root of the quantity b² – 4ac
2a is the coefficient of the x term
Quadratic Equation Practice Questions
1) Solve for x in the equation:
x2 − 4x = 0
x = 2
2) Solve for x in the equation:
x2 − 9x = 0
x = 3
3) Solve for x in the equation:
x2 + 6x = −4
x = −2
