What are the solutions to the equation 3(u-7)^2-10=215 ?

The solutions to the equation 3(u-7)^2-10=215 are u=5sqrt(3)+7,u=-5sqrt(3)+7

Find the zeros of 3(u-7)^2-10=215

The zeros of 3(u-7)^2-10=215 are u=5sqrt(3)+7,u=-5sqrt(3)+7

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3 (u - 7)^{2} - 10 = 215

u = 53 + 7, u = - 53 + 7

Decimal Notation

u = 15.66025 \dots, u = - 1.66025 \dots

Solution steps

3 (u - 7)^{2} - 10 = 215

Move

10

to the right side

3 (u - 7)^{2} = 225

Divide both sides by

3

(u - 7)^{2} = 75

For

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

the solutions are

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

Solve

u - 7 = 75 : u = 53 + 7

Solve

u - 7 = - 75 : u = - 53 + 7

The solutions to the quadratic equation are:

u = 53 + 7, u = - 53 + 7

- 4 x^{2} + 32 x + 0 = 0

3 x^{2} - 36 x + 108 = 9

z^{2} - 7 z + 2 = 0

16 = - x^{2} - 6 x

3 (x - 1)^{2} = 75

What are the solutions to the equation 3(u-7)^2-10=215 ?
The solutions to the equation 3(u-7)^2-10=215 are u=5sqrt(3)+7,u=-5sqrt(3)+7
Find the zeros of 3(u-7)^2-10=215
The zeros of 3(u-7)^2-10=215 are u=5sqrt(3)+7,u=-5sqrt(3)+7