What is the answer to 9/(4x^2-1)=x+4 ?

The answer to 9/(4x^2-1)=x+4 is x=-1,x=(-3+sqrt(22))/2 ,x=-(3+sqrt(22))/2

Solve for x: 9/(4x^2-1)=x+4

The solution is x=-1,x=(-3+sqrt(22))/2 ,x=-(3+sqrt(22))/2

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\frac{9}{4 x ^{2} - 1} = x + 4

x = - 1, x = \frac{- 3 + 22}{2}, x = - \frac{3 + 22}{2}

Decimal Notation

x = - 1, x = 0.84520 \dots, x = - 3.84520 \dots

Solution steps

\frac{9}{4 x ^{2} - 1} = x + 4

Multiply both sides by

4 x^{2} - 1

9 = x (4 x^{2} - 1) + 4 (4 x^{2} - 1)

Solve

9 = x (4 x^{2} - 1) + 4 (4 x^{2} - 1) : x = - 1, x = \frac{- 3 + 22}{2}, x = - \frac{3 + 22}{2}

x = - 1, x = \frac{- 3 + 22}{2}, x = - \frac{3 + 22}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}, x = - \frac{1}{2}

Combine undefined points with solutions:

x = - 1, x = \frac{- 3 + 22}{2}, x = - \frac{3 + 22}{2}

0.0205 = \frac{0.031 - x}{1 + x}

x \frac{m x + b}{x - b} = c

y, - \frac{1}{y} = t + c

\frac{2.5}{x} = \frac{5}{8}

5 - \frac{2 x}{3 - x} = \frac{6}{x - 3}

What is the answer to 9/(4x^2-1)=x+4 ?
The answer to 9/(4x^2-1)=x+4 is x=-1,x=(-3+sqrt(22))/2 ,x=-(3+sqrt(22))/2
Solve for x: 9/(4x^2-1)=x+4
The solution is x=-1,x=(-3+sqrt(22))/2 ,x=-(3+sqrt(22))/2