What are the solutions to the equation completesquare 1/4 (2x-7)(2x-1) ?

The solutions to the equation completesquare 1/4 (2x-7)(2x-1) are (x-2)^2-9/4

Find the zeros of completesquare 1/4 (2x-7)(2x-1)

The zeros of completesquare 1/4 (2x-7)(2x-1) are (x-2)^2-9/4

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complete the square

\frac{1}{4} (2 x - 7) (2 x - 1)

(x - 2)^{2} - \frac{9}{4}

Solution steps

\frac{1}{4} (2 x - 7) (2 x - 1)

Write in the standard form

a x^{2} + b x + c

x^{2} - 4 x + \frac{7}{4}

Write

x^{2} - 4 x + \frac{7}{4}

in the form:

x^{2} + 2 a x + a^{2}

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

x^{2} - 4 x + \frac{7}{4} + (- 2)^{2} - (- 2)^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

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

(x - 2)^{2} + \frac{7}{4} - (- 2)^{2}

Simplify

(x - 2)^{2} - \frac{9}{4}

lo g_{10} (5) (x^{2} - 6 x - 7) - lo g_{10} (5) (x + 1) = 1

- 3 x^{2} + 10 x - 8

- 2 x^{2} + x - 1

X^{2} + 2 X = 0

- 7 + 16 k^{2} = 9

What are the solutions to the equation completesquare 1/4 (2x-7)(2x-1) ?
The solutions to the equation completesquare 1/4 (2x-7)(2x-1) are (x-2)^2-9/4
Find the zeros of completesquare 1/4 (2x-7)(2x-1)
The zeros of completesquare 1/4 (2x-7)(2x-1) are (x-2)^2-9/4