Eloise started to solve a radical equation in this way: square root of negative 2x plus 1 − 3 = x square root of negative 2x plus 1 − 3 + 3 = x + 3 square root of negative 2x plus 1 = x + 3 square root of negative 2x plus 1 − 1 = x + 3 − 1 square root of negative 2 x = x + 2 (square root of negative 2 x)2 = (x − 4)2 −2x = x2 − 8x + 16 −2x + 2x = x2 + 8x + 16 + 2x 0 = x2 + 10x + 16 0 = (x + 2)(x + 8) x + 2 = 0 x + 8 = 0 x + 2 − 2 = 0 − 2 x + 8 − 8 = 0 − 8 x = −2 x = −8 both solutions are extraneous because they don't satisfy the original equation. what error did eloise make?

Please see attached image for the choices and proper formatting of the problem.

What she did:

What she should have done:

The error that Eloise made in solving the radical equation was that she subtracted 1 before squaring both sides.

To add, the equation where at least one variable expression is fixed inside a radical, usually a square root is called a radical equation.

We need to subtract 1 after squaring both sides

Step-by-step explanation:

Step1:

adding 3 both sides

we need to square here first  and then we need to subtract

and this is the error which  Eloise make in solving it .

answer: 2530

hope this

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1