The solution of the quadratic equation 8x² – 5x – 4 = 0 will be 1.085 and negative 0.460.
The solution of the equation means the value of the unknown or variable.
The quadratic equation is given below.
8x² – 5x – 4 = 0
Then we have
a = 8, b = -5, c = -4
Then the solutions will be
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}\\\\\\\rm x = \dfrac{-(-5)\pm \sqrt{(-5)^2 - 4 * 8 * (-4)}}{2 * 8 }\\\\\\x = \dfrac{5 \pm 12.37}{16}\\\\\\x = \dfrac{5- 12.37}{16}, \dfrac{5 +12.37}{16}[/tex]
On further solving, we have
x = 1.085, -0.460
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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