Solve the quadratic equation. List your solutions. Simply if necessary.

Question

x^2−14x+49=−27

x=

Answer 1

Most people would ring the 27 to the left side to get a quadratic that is not factorable. In this case you would use the quadratic formula.

But if you look at it closer you can factor the left side to (x-7)². Set this equal to 27 to get

(x-7)² = 27

Now take the square root of both sides. ( don't forget the + and - )

This gives you x - 7 = + or - √27 = 3 √3

Now add 7 to both sides to get

x = 7 + or - 3 √3

broken up gives x = 7 + 3√3 and x= 7 - 3√3