Quadratic Formula
Solve the following quadratic equation (4k + 5) (k + 1) = 0
x = - 5/4, x = -1
What are the answers to the quadratic equation 2m² + 2m - 12 = 0?
x = -3, x = 2
What are the methods of solving a quadratic equation?
) Quadratic formula 2) Complete the square 3) Graph 4) Factor and use the zero product property. 5) Square-root method
What are the first steps to completing the square?
1) Rewrite as: ax² + b = C 2) Make sure a = 1. Else factor/divide the coefficient out. 3) take (b/2)² and add it to both sides
What is a quadratic equation?
An equation in the form:
How is a quadratic equation solved by factoring?
Factor the quadratic equation and find the value(s) that makes each binomial 0.
What are solutions of a quadratic equation?
Roots of a quadratic equation
x= 4/5
Solve 25x²-40x=-16
x=1 or x=-2.5
Solve 2x²+3x-5=0
x=(-3±√19) / 2
Solve 2x²+6x-5=0
x=(-1±i√39) / 4
Solve 2x²+x+5=0
x=(3±i√7) / 4
Solve 2x²-3x+2=0
x=(7±√57) / 4
Solve 2x²-7x-1=0
x=(-1±i√79) / 8
Solve 4x²+x+5=0
x=±√5 / 2
Solve 4x²-5=0
x = 1/5, 7
Solve 5x²-36x-7=0
x=(-1±√73) / 12
Solve 6x²+x-3=0
x=-2±√2
Solve x²+4x+2=0
x=(3±√29) / 2
Solve x²-3x-5=0
Solve the following quadratic equation 4b² + 8b²+7= 4
-3/2, -1/2
Solve the following quadratic equation b² - 4b + 4= 0
2
What are the last steps to completing the square?
4) Factor the left side into a square of an equation. 5) Square root both sides. 6) Your two solutions are the constant ± the square root of the right side.
Solve the following quadratic equation m² - 5m -14=0
7, -2
What is a quadratic expression?
A polynomial with a degree of two
What is completing the square of a quadratic?
A process that by adding a constant c to an expression in the from x^2 + bx so that the expression x^2 + bx + c is a perfect square trinomial.
What is a Quadratic Term?
A term with an exponent of 2 - ax²
Out of the methods of solving quadratic equations, which are the most reliable?
The quadratic equation and completing the square.
What is the discriminant of a quadratic equation?
the b² - 4ac portion. It is rooted in the quadratic equation.
What is the U-shaped graph of a quadratic function?
parabola