What is the answer to 1+sqrt(24-10x)=3x+5 ?

The answer to 1+sqrt(24-10x)=3x+5 is x= 2/9

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1+sqrt(24-10x)=3x+5

1 + 24 - 10 x = 3 x + 5

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

1 + 24 - 10 x = 3 x + 5

Remove square roots

24 - 10 x = 9 x^{2} + 24 x + 16

Solve

24 - 10 x = 9 x^{2} + 24 x + 16 : x = \frac{2}{9}, x = - 4

x = \frac{2}{9}, x = - 4

Verify Solutions:

x = \frac{2}{9}

True

, x = - 4

False

The solution is

x = \frac{2}{9}

x^{\frac{2}{5}} = 243

x, y = 7 + 49 - x^{2}

25 x^{2} + 100 x + 125 = 5

x - (x + 1) = 1

What is the answer to 1+sqrt(24-10x)=3x+5 ?
The answer to 1+sqrt(24-10x)=3x+5 is x= 2/9
Solve for x: 1+sqrt(24-10x)=3x+5
The solution is x= 2/9