What is the answer to sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3) ?

The answer to sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3) is x= 3/4 ,x= 2/3

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sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3)

7 x - 5 - 3 x - 2 = 4 x - 3

x = \frac{3}{4}, x = \frac{2}{3}

Decimal Notation

x = 0.75, x = 0.66666 \dots

Solution steps

7 x - 5 - 3 x - 2 = 4 x - 3

Remove square roots

84 x^{2} - 116 x + 40 = 36 x^{2} - 48 x + 16

Solve

84 x^{2} - 116 x + 40 = 36 x^{2} - 48 x + 16 : x = \frac{3}{4}, x = \frac{2}{3}

x = \frac{3}{4}, x = \frac{2}{3}

Verify Solutions:

x = \frac{3}{4}

True

, x = \frac{2}{3}

True

The solutions are

x = \frac{3}{4}, x = \frac{2}{3}

(4 x + 4)^{\frac{1}{3}} + 2 = 0

x + 5 = x - 5

m - 7 + 18 = 12

20 x - 44 + 2 x = 2

\frac{1}{1 - x ^{2}} - 3 = 0

What is the answer to sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3) ?
The answer to sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3) is x= 3/4 ,x= 2/3
Solve for x: sqrt(7x-5)-sqrt(3x-2)=sqrt(4x-3)
The solution is x= 3/4 ,x= 2/3