What is the answer to sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1 ?

The answer to sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1 is x=4,x=-14/5

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sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1

5 x^{2} - 6 x + 8 - 5 x^{2} - 6 x - 7 = 1

x = 4, x = - \frac{14}{5}

Decimal Notation

x = 4, x = - 2.8

Solution steps

5 x^{2} - 6 x + 8 - 5 x^{2} - 6 x - 7 = 1

Remove square roots

196 = 20 x^{2} - 24 x - 28

Solve

196 = 20 x^{2} - 24 x - 28 : x = 4, x = - \frac{14}{5}

x = 4, x = - \frac{14}{5}

Verify Solutions:

x = 4

True

, x = - \frac{14}{5}

True

The solutions are

x = 4, x = - \frac{14}{5}

4 x^{2} - 15 - 2 x = - 1

x = 1 + 3 x + 15

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

22 - x \cdot 10 = 20 + 2

x^{2} - 12 = 1

What is the answer to sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1 ?
The answer to sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1 is x=4,x=-14/5
Solve for x: sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1
The solution is x=4,x=-14/5