Question

Which of the following is a solution of x2 - 7x = -5? A. 7 plus or minus the square root of 69 divided by two. B. 7 plus or minus the square root of 29 divided by two. C. negative 7 plus or minus the square root of 29 divided by two. D. negative 7 plus or minus the square root of 69 divided by two.

Answer 1

B. 7 plus or minus the square root of 29 divided by 2

Explanation:

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Answer 2

x² - 7 x = - 5
x² - 7 x + 5 = 0
The standard form is : ax² + b x + c = 0
a = 1; b = -7; c = 5
x 1/2 = (-b+/- √(b²-4 ac) / 2a
x 1/2 = (7+/-√49 - 20) / 2 = ( 7 +/-√29 ) / 2
Answer: B ) 7 plus or minus the square root of 29 divided by two.