What is the answer to sqrt(4x^2-11)-6=x+2 ?

The answer to sqrt(4x^2-11)-6=x+2 is x=-3,x= 25/3

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sqrt(4x^2-11)-6=x+2

4 x^{2} - 11 - 6 = x + 2

x = - 3, x = \frac{25}{3}

Decimal Notation

x = - 3, x = 8.33333 \dots

Solution steps

4 x^{2} - 11 - 6 = x + 2

Remove square roots

4 x^{2} - 11 = x^{2} + 16 x + 64

Solve

4 x^{2} - 11 = x^{2} + 16 x + 64 : x = - 3, x = \frac{25}{3}

x = - 3, x = \frac{25}{3}

Verify Solutions:

x = - 3

True

, x = \frac{25}{3}

True

The solutions are

x = - 3, x = \frac{25}{3}

0 = \frac{x + 6}{6 + x}

x - 3 = 3 + 2

y, x = 6 3 y

x^{2} + 8 x = 3 - x

What is the answer to sqrt(4x^2-11)-6=x+2 ?
The answer to sqrt(4x^2-11)-6=x+2 is x=-3,x= 25/3
Solve for x: sqrt(4x^2-11)-6=x+2
The solution is x=-3,x= 25/3