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SAT - Math - Quadratic Equations

(2k2 +17)2 - x = 0 If k > 0 and x = 7 in the equation above, what is the value of k?

(2k 17)2 - x = 0

If k > 0 and x = 7 in the equation above, what is the value of k?

(2k2 +17)2 - x = 0

given x = 7

(2k2 +17)2 = 7

(2k2 +17) = ± 7

case 1

(2k2 +17) =  7

2k2 =  7 - 17 < 0

No values of k

case 2

(2k2 +17) = - 7

2k2 = -  7 - 17 < 0

No values of k