What are the solutions to the equation completesquare-5x^2+10x+35 ?

The solutions to the equation completesquare-5x^2+10x+35 are -5(x-1)^2+40

Find the zeros of completesquare-5x^2+10x+35

The zeros of completesquare-5x^2+10x+35 are -5(x-1)^2+40

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complete the square

- 5 x^{2} + 10 x + 35

- 5 (x - 1)^{2} + 40

Solution steps

- 5 x^{2} + 10 x + 35

Write

- 5 x^{2} + 10 x + 35

in the form:

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

Factor out

- 5

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

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

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

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

Simplify

- 5 (x - 1)^{2} + 40

x^{2} - x - 1 = 0

13870 = - 245 x^{2} - 196 x + 13857

20 x^{2} - 24 x + 65

(6 x - 7)^{2} = - 25

6 x^{2} + 10 x + 3 = 0

What are the solutions to the equation completesquare-5x^2+10x+35 ?
The solutions to the equation completesquare-5x^2+10x+35 are -5(x-1)^2+40
Find the zeros of completesquare-5x^2+10x+35
The zeros of completesquare-5x^2+10x+35 are -5(x-1)^2+40