What is the answer to 2x=sqrt(-5x+24)-3 ?

The answer to 2x=sqrt(-5x+24)-3 is x= 3/4

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2x=sqrt(-5x+24)-3

2 x = - 5 x + 24 - 3

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

2 x = - 5 x + 24 - 3

Remove square roots

4 x^{2} + 12 x + 9 = - 5 x + 24

Solve

4 x^{2} + 12 x + 9 = - 5 x + 24 : x = \frac{3}{4}, x = - 5

x = \frac{3}{4}, x = - 5

Verify Solutions:

x = \frac{3}{4}

True

, x = - 5

False

The solution is

x = \frac{3}{4}

x - 6 + 2 = 6

x + 2 - x + 7 = 1

x - 5 = 1 - x

2 x + 7 = 5

What is the answer to 2x=sqrt(-5x+24)-3 ?
The answer to 2x=sqrt(-5x+24)-3 is x= 3/4
Solve for x: 2x=sqrt(-5x+24)-3
The solution is x= 3/4