Write a solution of 4x² = - 9x - 4?

Solution:

Given, 4x² = - 9x - 4

We have to find the solution of the equation.

The equation can be rewritten as 4x² + 9x + 4 = 0

Using quadratic formula,

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

Here, a = 4, b = 9 and c = 4

\(x=\frac{-9\pm \sqrt{9^{2}-4(4)(4)}}{2(4)}\)

\(x=\frac{-9\pm \sqrt{81-64}}{8}\)

\(x=\frac{-9\pm \sqrt{17}}{8}\)

\(x=\frac{-9\pm 4.123}{8}\)

\(x=\frac{-9+4.123}{8}=\frac{-4.877}{8}=-0.6096\)

\(x=\frac{-9-4.123}{8}=\frac{-13.123}{8}=-1.6404\)

Therefore, the solutions are -0.6096 and -1.6404

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Write a solution of 4x² = - 9x - 4?

Summary:

The solutions of 4x² = - 9x - 4 are -0.6096 and -1.6404