20. Solve for x:
√6x+7- (2x-7)= 0
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Answer:
Sqrt (6x +7) - (2x - 7) = 0
sqrt ( 6x + 7) = (2x - 7)
Squreing bothsides
( sqrt ( 6x + 7 ))^2 = ( 2x - 7)^2
6x + 7 = 4x^2 -28x +49
O = 4x^2 -28x -6x +49 7
4x^2 -34x +42 = 0
Divide each term with 2
2x^2 17x +21 0
2x^2 - 14x - 3x +21 = 0
2x (x - 7) - 3( x - 7) = 0
(x-7)(2x - 3) = 0
X - 7 = 0 or 2x - 3 = 0
X = 7 or 2x = 3
x = 7 or x = 3/2
Step-by-step explanation:
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