Transform Any Quadratic Equation by Completing the Square
Standard A.REI.4 – Solve quadratic equations in one variable.
A.REI.4a – Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions.
(Ohio only) Derive the quadratic formula from this form. (advanced)
Vocabulary for this standard:
EngageNY lesson link – This appears in the Fourth module
of the EngageNY curriculum.
A base is a number or expression being multiplied in an exponent
An exponent is a number that describes how many times to use the number in a multiplication.
A coefficient is a number used to multiply a variable.
A negative exponent expresses that the base is the denominator of a fraction instead of the numerator
The multiplicative property of exponents says that when you multiply powers with the same base you just have to add the exponents
The division property of exponents says that when you divide powers with the same base you just have to subtract the exponents
The power of a power property says that when you raise an exponent to another power, you just have to multiply the exponents