Answer:
Negative 9 plus or minus the square root of 17 divided by 8.
Step-by-step 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 ±[tex]\sqrt{b^{2} - 4ac }[/tex] / 2a
We can substitute our values into the above formula;
x = -9 ± [tex]\sqrt{9^{2} - 4.4.4 }[/tex] / 2.4
x = -9 ± [tex]\sqrt{81 - 64}[/tex] / 8
x = -9 ± [tex]\sqrt{17}[/tex] / 8
Therefore the solution to this equation is; negative nine plus or minus the square root of 17 divided by 8
