What is the answer to sqrt(4x+7)=sqrt(2x-3)+8 ?

The answer to sqrt(4x+7)=sqrt(2x-3)+8 is x=91+8sqrt(115)

Solve for x: sqrt(4x+7)=sqrt(2x-3)+8

The solution is x=91+8sqrt(115)

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4 x + 7 = 2 x - 3 + 8

x = 91 + 8115

Decimal Notation

x = 176.79044 \dots

Solution steps

4 x + 7 = 2 x - 3 + 8

Remove square roots

4 x^{2} - 216 x + 2916 = 512 x - 768

Solve

4 x^{2} - 216 x + 2916 = 512 x - 768 : x = 91 + 8115, x = 91 - 8115

x = 91 + 8115, x = 91 - 8115

Verify Solutions:

x = 91 + 8115

True

, x = 91 - 8115

False

The solution is

x = 91 + 8115

x^{\frac{1}{2}} - 5 x^{\frac{1}{4}} + 6 = 0

(x - 3) x^{2} - 5 x + 4 = 2 x - 6

- 10 + 7 p = p

x^{2} + 2 x + x^{2} + 2 x + 10 - 20 = 0

What is the answer to sqrt(4x+7)=sqrt(2x-3)+8 ?
The answer to sqrt(4x+7)=sqrt(2x-3)+8 is x=91+8sqrt(115)
Solve for x: sqrt(4x+7)=sqrt(2x-3)+8
The solution is x=91+8sqrt(115)