What is the answer to 2xsqrt(x)-13x+13sqrt(x)+10=0 ?

The answer to 2xsqrt(x)-13x+13sqrt(x)+10=0 is x=4,x=25

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2xsqrt(x)-13x+13sqrt(x)+10=0

2 x x - 13 x + 13 x + 10 = 0

x = 4, x = 25

Solution steps

2 x x - 13 x + 13 x + 10 = 0

Move

13 x

to the right side

2 x x + 13 x + 10 = 13 x

Move

10

to the right side

2 x x + 13 x = 13 x - 10

Factor

2 x x + 13 x : x (2 x + 13)

x (2 x + 13) = 13 x - 10

Square both sides:

4 x^{3} + 52 x^{2} + 169 x = 169 x^{2} - 260 x + 100

4 x^{3} + 52 x^{2} + 169 x = 169 x^{2} - 260 x + 100

Solve

4 x^{3} + 52 x^{2} + 169 x = 169 x^{2} - 260 x + 100 : x = 4, x = \frac{1}{4}, x = 25

x = 4, x = \frac{1}{4}, x = 25

Verify Solutions:

x = 4

True

, x = \frac{1}{4}

False

, x = 25

True

The solutions are

x = 4, x = 25

x, w = 7 π \frac{x}{t}

8 23 v + 3 = 56

x - x - 9 = x + 11 - 5

2 x^{\frac{4}{3}} - 2 = 160

What is the answer to 2xsqrt(x)-13x+13sqrt(x)+10=0 ?
The answer to 2xsqrt(x)-13x+13sqrt(x)+10=0 is x=4,x=25
Solve for x: 2xsqrt(x)-13x+13sqrt(x)+10=0
The solution is x=4,x=25