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

The solutions to the equation completesquare 2x^2-4x-5 are 2(x-1)^2-7

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

The zeros of completesquare 2x^2-4x-5 are 2(x-1)^2-7

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complete the square

2 x^{2} - 4 x - 5

2 (x - 1)^{2} - 7

Solution steps

2 x^{2} - 4 x - 5

Write

2 x^{2} - 4 x - 5

in the form:

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

Factor out

2

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

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

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

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

Simplify

2 (x - 1)^{2} - 7

x^{2} = 7 x + 60

4 x^{2} + 38 x + 18 = 0

5 x^{2} - 20 x - 300 = 0

p^{2} + p - 20 = 0

(x + 5) (x - 6) = 1

What are the solutions to the equation completesquare 2x^2-4x-5 ?
The solutions to the equation completesquare 2x^2-4x-5 are 2(x-1)^2-7
Find the zeros of completesquare 2x^2-4x-5
The zeros of completesquare 2x^2-4x-5 are 2(x-1)^2-7