Question

Please help me with this math question. Thank you.

Answer 1

D

Explanation:

We want to find the values of x such that:

`\displaystyle -x^2 + 7x + 5 = 0`

We can use the quadratic formula. Recall that:

`\displaystyle x = (-b\pm√(b^2-4ac))/(2a)`

In this case, a = -1, b = 7, and c = 5. Substitute and evaluate:

`\displaystyle \begin{aligned} x & = (-(7)\pm√((7)^2-4(-1)(5)))/(2(-1))\\ \\ & = (-7\pm√(49+20))/(-2) \\ \\ & = (-7\pm√(69))/(-2)\end{aligned}`

In conclusion, the answer is D.