Question

1. Which is the best method for solving the quadratic equation? Explain why using a sentence. Then solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.

Try to only choose each method once, but you may use a method twice.
• Take the square root of each side.
• Factor and use the zero-product property.
• Complete the square.
• Use the quadratic formula.
A. 2a2 = 72
B. x2 -10x +16= 0
C. y2 + 6y = 2

Answer 1

Below.

Explanation:

A. Take the square root of each side.

2a^2 = 72

a^2 = 36

a = -6, 6.

B. Factor and use the zero-product property

(x - 2)(x - 8) = 0

x = 2, 8.

C. Complete the square.

y^2 + 6y = 2

(y + 3)^2 - 3^2 = 2

(y + 3)^2 = 2 + 9 = 11

Taking square roots:

y + 3 = +/- √11

y = -3 + √11, -3 - √11