Question

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

Answer 1

Hey there!

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

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

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

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

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

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

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

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

$\mathsf{x = \pm \sqrt{36}}$

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

$\mathsf{x = \sqrt{-36}\rightarrow \bf -6}$

$\large\textsf{or}$

$\mathsf{x = \sqrt{36} = \bf 6}$

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

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

~$\frak{Amphitrite1040:)}$

Answer 2

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 $x_2 = -6$