Mister Exam

Other calculators


(x+3)^2=(x+11)^2

(x+3)^2=(x+11)^2 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
       2           2
(x + 3)  = (x + 11) 
$$\left(x + 3\right)^{2} = \left(x + 11\right)^{2}$$
Detail solution
Given the equation:
(x+3)^2 = (x+11)^2

Expand expressions:
9 + x^2 + 6*x = (x+11)^2

(x+3)^2 = 121 + x^2 + 22*x

Reducing, you get:
-112 - 16*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 16 x = 112$$
Divide both parts of the equation by -16
x = 112 / (-16)

We get the answer: x = -7
The graph
Rapid solution [src]
x1 = -7
$$x_{1} = -7$$
Sum and product of roots [src]
sum
0 - 7
$$-7 + 0$$
=
-7
$$-7$$
product
1*-7
$$1 \left(-7\right)$$
=
-7
$$-7$$
-7
Numerical answer [src]
x1 = -7.0
x1 = -7.0
The graph
(x+3)^2=(x+11)^2 equation