What is the answer to 4x=sqrt(15x^2+5x+14) ?

The answer to 4x=sqrt(15x^2+5x+14) is x=7

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4x=sqrt(15x^2+5x+14)

4 x = 15 x^{2} + 5 x + 14

x = 7

Solution steps

4 x = 15 x^{2} + 5 x + 14

Square both sides:

16 x^{2} = 15 x^{2} + 5 x + 14

16 x^{2} = 15 x^{2} + 5 x + 14

Solve

16 x^{2} = 15 x^{2} + 5 x + 14 : x = - 2, x = 7

x = - 2, x = 7

Verify Solutions:

x = - 2

False

, x = 7

True

The solution is

x = 7

- 4 x + 1 + 4 x + 3 = 2

6 4 - 7 x = 30

3 x + 10 - x + 2 = 2

x - 3 x - 5 = 3

(2 x + 1)^{(\frac{1}{3})} - 3 = - 5

What is the answer to 4x=sqrt(15x^2+5x+14) ?
The answer to 4x=sqrt(15x^2+5x+14) is x=7
Solve for x: 4x=sqrt(15x^2+5x+14)
The solution is x=7