Question

Use the quadratic formula to find the exact solutions of x2 - 9x + 5 = 0.

-btvb2 - 4ac
X=
2a

Answer 1

The last option.

Explanation:

Well, in this case, the a-value is 1, b-value is -9, and c-value is 5.

You would have -(-9) plus or minus the square root of ((-9)^2) - 4 * 1 * 5, divided by 2 * 1.

That would be [9 plus or minus sqrt(81 - 20)] / 2

= [9 plus or minus sqrt(61)] / 2

That is the last option.

Hope this helps!

Answer 2

The answer is option d.

x² - 9x + 5 = 0.

Using the quadratic formula

x = - b ± √b² - 4ac / 2a

From the above equation

a = 1 b = -9 c = 5

x = --9 ± √ (-9)² - 4(1)(5) /2(1)

x = 9 ± √ 81 -20 / 2

x = 9 ± √61 / 2

Hope this helps