Question

Which of the following is a solution of 4x2 = − 9x − 4? (2 points) 9 plus or minus the square root of 17 divided by 8. negative 9 plus or minus the square root of 145 divided by 8. 9 plus or minus the square root of 145 divided by 8. negative 9 plus or minus the square root of 17 divided by 8.

Answer 1

negative 9 plus or minus the square root of 17 all over 8

Explanation:

I got right on the test.

Answer 2

Negative 9 plus or minus the square root of 17 divided by 8.

Explanation:

Which of the following is a solution of 4x² = − 9x − 4?

We are going to use formula method, to solve this quadratic equation

But first, we are going to rearrange the equation to make it in standard form;

4x² = -9x -4

Add 9x to both-side of the equation;

4x² + 9x = -9x + 4 + 9x

4x² + 9x = 4

subtract 4 from both-side of the equation;

4x² + 9x -4 = 4-4

4x² + 9x - 4 = 0 --------------------(1)

So now, we can start solving

ax² + bx + c = 0 ----------------------(2)

Comparing equation(1) with equation (2)

a = 4 b = 9 and c= -4

Using the formula;

x = -b ±
`\sqrt{b^(2) - 4ac }` / 2a

We can substitute our values into the above formula;

x = -9 ±
`\sqrt{9^(2) - 4.4.4 }` / 2.4

x = -9 ±
`√(81 - 64)` / 8

x = -9 ±
`√(17)` / 8

Therefore the solution to this equation is; negative nine plus or minus the square root of 17 divided by 8