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Which of the following is a solution of the equation x^2 - 7x = -5?

a. ( (7 pm √(69))(2) )
b. ( (7 pm √(29))(2) )
c. ( (-7 pm √(69))(2) )
d. ( (-7 pm √(29))(2) )

User Misberner
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1 Answer

2 votes

Final answer:

The solution to the equation x² - 7x = -5 is x = (7 ± √(29))/2.

Step-by-step explanation:

To find the solution of the equation x² - 7x = -5, we can rearrange the equation to get x² - 7x + 5 = 0. This is a quadratic equation in the form ax² + bx + c = 0, where a = 1, b = -7, and c = 5. We can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values into the quadratic formula:

x = (-(-7) ± √((-7)² - 4(1)(5))) / (2(1))

x = (7 ± √(49 - 20)) / 2

x = (7 ± √(29)) / 2

Therefore, the solution to the equation is x = (7 ± √(29))/2.

User Johnny Bou
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