What are the solutions to the equation (a-60)^2+43=57 ?

The solutions to the equation (a-60)^2+43=57 are a=sqrt(14)+60,a=-sqrt(14)+60

Find the zeros of (a-60)^2+43=57

The zeros of (a-60)^2+43=57 are a=sqrt(14)+60,a=-sqrt(14)+60

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(a - 60)^{2} + 43 = 57

a = 14 + 60, a = - 14 + 60

Decimal Notation

a = 63.74165 \dots, a = 56.25834 \dots

Solution steps

(a - 60)^{2} + 43 = 57

Move

43

to the right side

(a - 60)^{2} = 14

For

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

the solutions are

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

Solve

a - 60 = 14 : a = 14 + 60

Solve

a - 60 = - 14 : a = - 14 + 60

The solutions to the quadratic equation are:

a = 14 + 60, a = - 14 + 60

- 7 a^{2} + 10 a - 15 = - 5

x^{2} + 4 x - 8 = 4

x^{2} + 2 x - 35 = 0

y, (3 x y + 7)^{2} = 6 y

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

What are the solutions to the equation (a-60)^2+43=57 ?
The solutions to the equation (a-60)^2+43=57 are a=sqrt(14)+60,a=-sqrt(14)+60
Find the zeros of (a-60)^2+43=57
The zeros of (a-60)^2+43=57 are a=sqrt(14)+60,a=-sqrt(14)+60