What is the answer to sqrt(7x+30)=3x-20 ?

The answer to sqrt(7x+30)=3x-20 is x=10

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sqrt(7x+30)=3x-20

7 x + 30 = 3 x - 20

x = 10

Solution steps

7 x + 30 = 3 x - 20

Square both sides:

7 x + 30 = 9 x^{2} - 120 x + 400

7 x + 30 = 9 x^{2} - 120 x + 400

Solve

7 x + 30 = 9 x^{2} - 120 x + 400 : x = 10, x = \frac{37}{9}

x = 10, x = \frac{37}{9}

Verify Solutions:

x = 10

True

, x = \frac{37}{9}

False

The solution is

x = 10

x + 4 = x

x + 4 = 5

a = b + x

4 - x^{2} = 4 - x

What is the answer to sqrt(7x+30)=3x-20 ?
The answer to sqrt(7x+30)=3x-20 is x=10
Solve for x: sqrt(7x+30)=3x-20
The solution is x=10