What are the solutions to the equation completesquare 4x^2-14x-5 ?

The solutions to the equation completesquare 4x^2-14x-5 are 4(x-7/4)^2-69/4

Find the zeros of completesquare 4x^2-14x-5

The zeros of completesquare 4x^2-14x-5 are 4(x-7/4)^2-69/4

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complete the square

4 x^{2} - 14 x - 5

4 (x - \frac{7}{4})^{2} - \frac{69}{4}

Solution steps

4 x^{2} - 14 x - 5

Write

4 x^{2} - 14 x - 5

in the form:

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

Factor out

4

4 (x^{2} - \frac{7 x}{2} - \frac{5}{4})

2 a = - \frac{7}{2} : a = - \frac{7}{4}

Add and subtract

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

4 (x^{2} - \frac{7 x}{2} - \frac{5}{4} + (- \frac{7}{4})^{2} - (- \frac{7}{4})^{2})

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

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

4 ((x - \frac{7}{4})^{2} - \frac{5}{4} - (- \frac{7}{4})^{2})

Simplify

4 (x - \frac{7}{4})^{2} - \frac{69}{4}

x, x^{2} + 5 y^{2} = - 8

x, x^{2} + y^{2} - 2 y + 4 = 0

f, h = f (x + f)

(x + 5) (x - 2) = 0

x, 2 x^{2} - 4 x y - y^{2} - 4 x - 8 y + 62 = 0

What are the solutions to the equation completesquare 4x^2-14x-5 ?
The solutions to the equation completesquare 4x^2-14x-5 are 4(x-7/4)^2-69/4
Find the zeros of completesquare 4x^2-14x-5
The zeros of completesquare 4x^2-14x-5 are 4(x-7/4)^2-69/4