What are the solutions to the equation completesquare p^2+14p-38 ?

The solutions to the equation completesquare p^2+14p-38 are (p+7)^2-87

Find the zeros of completesquare p^2+14p-38

The zeros of completesquare p^2+14p-38 are (p+7)^2-87

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complete the square

p^{2} + 14 p - 38

(p + 7)^{2} - 87

Solution steps

p^{2} + 14 p - 38

Write

p^{2} + 14 p - 38

in the form:

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

2 a = 14 : a = 7

Add and subtract

7^{2}

p^{2} + 14 p - 38 + 7^{2} - 7^{2}

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

p^{2} + 14 p + 7^{2} = (p + 7)^{2}

(p + 7)^{2} - 38 - 7^{2}

Simplify

(p + 7)^{2} - 87

x^{2} - 10 x - 11 = - 28

9 x^{2} - 7 x - 16 = 0

4.8 x - 0.36 x^{2} = 0

9 x^{2} - 60 x + 60 = 0

2 x^{2} - \frac{1}{2} x + 5 = 0

What are the solutions to the equation completesquare p^2+14p-38 ?
The solutions to the equation completesquare p^2+14p-38 are (p+7)^2-87
Find the zeros of completesquare p^2+14p-38
The zeros of completesquare p^2+14p-38 are (p+7)^2-87