What are the solutions to the equation 4(x-2)^2-1=0 ?

The solutions to the equation 4(x-2)^2-1=0 are x= 5/2 ,x= 3/2

Find the zeros of 4(x-2)^2-1=0

The zeros of 4(x-2)^2-1=0 are x= 5/2 ,x= 3/2

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4 (x - 2)^{2} - 1 = 0

x = \frac{5}{2}, x = \frac{3}{2}

Solution steps

4 (x - 2)^{2} - 1 = 0

Move

1

to the right side

4 (x - 2)^{2} = 1

Divide both sides by

4

(x - 2)^{2} = \frac{1}{4}

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

x - 2 = \frac{1}{4} : x = \frac{5}{2}

Solve

x - 2 = - \frac{1}{4} : x = \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = \frac{3}{2}

(x + 8)^{2} = 9^{2}

x^{2} + 6 x = 71

8 x^{2} + 7 x = 2

x, f = x^{2} + 4 x + k

20 x^{2} - 9 x = 20

What are the solutions to the equation 4(x-2)^2-1=0 ?
The solutions to the equation 4(x-2)^2-1=0 are x= 5/2 ,x= 3/2
Find the zeros of 4(x-2)^2-1=0
The zeros of 4(x-2)^2-1=0 are x= 5/2 ,x= 3/2