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

Answer:

Below.

Step-by-step 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