Question

What is the answer to x^2-11=25 please

Answer 1

x² - 11 = 25

Add 11 to both sides.

x² - 11 + 11 = 25 + 11

Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.

x² = 36

Take the square root of both sides of the equation and remember to use both positive and negative roots.

√x² = ± √36

x = ± 6

Write the solutions, one with a+ sign and one with a- sign.

`x_1 = 6`

`x_2 = -6`

This equation has two solutions which are :-

`x_1 = 6`and
`x_2 = -6`

Answer 2

Hey there!

`\mathsf{x^2 - 11 = 25}`

`\large\textsf{ADD 11 to BOTH SIDES}`

`\mathsf{x^2 - 11 + 11 = 25 + 11}`

`\large\textsf{CANCEL out: -11 + 11 because that gives you 0}`

`\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}`

`\mathsf{25 + 11 = \bf 36}`

`\large\textsf{NEW EQUATION: }\mathsf{x^2=36}`

`\large\textsf{Take the square root of the number (36)}`

`\mathsf{x = \pm √(36)}`

`\mathsf{\pm = \boxed{\bf plus-or-minus}}`

`\mathsf{x = √(-36)\rightarrow \bf -6}`

`\large\textsf{or}`

`\mathsf{x = √(36) = \bf 6}`

`\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark`

`\large\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`