What are the solutions to the equation a(x-h)^2+k=0 ?

The solutions to the equation a(x-h)^2+k=0 are x=isqrt(k/a)+h,x=-isqrt(k/a)+h;\quad a\ne 0

Find the zeros of a(x-h)^2+k=0

The zeros of a(x-h)^2+k=0 are x=isqrt(k/a)+h,x=-isqrt(k/a)+h;\quad a\ne 0

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a (x - h)^{2} + k = 0

x = i \frac{k}{a} + h, x = - i \frac{k}{a} + h; a \neq = 0

Solution steps

a (x - h)^{2} + k = 0

Move

k

to the right side

a (x - h)^{2} = - k

Divide both sides by

a; a \neq = 0

(x - h)^{2} = - \frac{k}{a}; a \neq = 0

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

x - h = - \frac{k}{a} : x = i \frac{k}{a} + h

Solve

x - h = - - \frac{k}{a} : x = - i \frac{k}{a} + h

The solutions to the quadratic equation are:

x = i \frac{k}{a} + h, x = - i \frac{k}{a} + h; a \neq = 0

5 v^{2} + 15 v = 0

x^{2} + 25 = 50

x^{2} + 9 = 10

x^{2} - 4 x - 5 = 0

2 r^{2} + r - 14 = 0

What are the solutions to the equation a(x-h)^2+k=0 ?
The solutions to the equation a(x-h)^2+k=0 are x=isqrt(k/a)+h,x=-isqrt(k/a)+h;\quad a\ne 0
Find the zeros of a(x-h)^2+k=0
The zeros of a(x-h)^2+k=0 are x=isqrt(k/a)+h,x=-isqrt(k/a)+h;\quad a\ne 0