Expert: Bobby Soltani - 7/7/2009

Question
hello ..i have this problems from my mat1033 class .. I want to know if i have the correct answers so can you please help me .. thanksss

(2x-7)^2= 14 ...my answer is X= +-7 square root 14/ 2

2x^2+ 3x= 1 .....my answer is X= -3+- square root 1/ 4

2x^2+7x-9=0.....my answer is X= -7+- square root 121/ 4


thanks! .. hope you can help me

Answer
Hi Vanessa,

Sorry it took me a few days to get back with you.

(2x-7)^2= 14

take the square root of both sides

(2x-7) = +SQRT(14) and -SQRT(14)

add 7 to both sides

2x = +SQRT(14)+7 and -SQRT(14)+7

divide both sides by 2

x = (SQRT(14)+7)/2 and (-SQRT(14) + 7)/2

For the second one, I get

x = (-3 +- SQRT(17))/4

For the third one, I get

x = -9/2, and x = 1

Let me know if you have any questions.

Bobby