What is the answer to 4z-1=sqrt(25z^2-14z+2) ?

The answer to 4z-1=sqrt(25z^2-14z+2) is z= 1/3

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4z-1=sqrt(25z^2-14z+2)

4 z - 1 = 25 z^{2} - 14 z + 2

z = \frac{1}{3}

Decimal Notation

z = 0.33333 \dots

Solution steps

4 z - 1 = 25 z^{2} - 14 z + 2

Square both sides:

16 z^{2} - 8 z + 1 = 25 z^{2} - 14 z + 2

16 z^{2} - 8 z + 1 = 25 z^{2} - 14 z + 2

Solve

16 z^{2} - 8 z + 1 = 25 z^{2} - 14 z + 2 : z = \frac{1}{3}

z = \frac{1}{3}

Verify Solutions:

z = \frac{1}{3}

True

The solution is

z = \frac{1}{3}

8 y - 63 y = 8

y = 2 y

\frac{5 2 x - 4 + 3}{6} = 8

x - 10 = x - 7

What is the answer to 4z-1=sqrt(25z^2-14z+2) ?
The answer to 4z-1=sqrt(25z^2-14z+2) is z= 1/3
Solve for z: 4z-1=sqrt(25z^2-14z+2)
The solution is z= 1/3