Question

solve the following quadratic equation
$5x { }^{2} - 4x - 7 = 0$


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Answer 1

Answer:

The roots are -0.849 and 1.649.

Step-by-step explanation:

The quadratic equation provided is: 5x² - 4x - 7 = 0.

The roots of a quadratic equation can be computed using the formula:

$x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

Here,

a = 5

b = -4

c = -7

Compute the roots as follows:

$x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=x=\frac{-(-4)\pm\sqrt{(-4)^{2}-(4\times5\times-7)}}{2\times5}=\frac{4\pm\sqrt{156}}{10}=(-0.849, 1.649)$

Thus, the roots are -0.849 and 1.649.

Answer 2

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