What is the answer to sqrt(36x^2-12x+1)=5 ?

The answer to sqrt(36x^2-12x+1)=5 is x=1,x=-2/3

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sqrt(36x^2-12x+1)=5

36 x^{2} - 12 x + 1 = 5

x = 1, x = - \frac{2}{3}

Decimal Notation

x = 1, x = - 0.66666 \dots

Solution steps

36 x^{2} - 12 x + 1 = 5

Square both sides:

36 x^{2} - 12 x + 1 = 25

36 x^{2} - 12 x + 1 = 25

Solve

36 x^{2} - 12 x + 1 = 25 : x = 1, x = - \frac{2}{3}

x = 1, x = - \frac{2}{3}

Verify Solutions:

x = 1

True

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

True

The solutions are

x = 1, x = - \frac{2}{3}

3 = x^{2} + (- 1)^{2}

21 + q = 3 + q

x + 4 + x + 1 = 3

x - 1 - x + 1 = 1

(2 x - 1)^{- \frac{1}{2}} = 5

What is the answer to sqrt(36x^2-12x+1)=5 ?
The answer to sqrt(36x^2-12x+1)=5 is x=1,x=-2/3
Solve for x: sqrt(36x^2-12x+1)=5
The solution is x=1,x=-2/3