Question

X^2+10 = 91
What is the positive solution to the given equation?

Answer 1

To solve this problem, we will factor.
x^2+10=91
Subtract 91 to both sides:
x^2+10-91=0
Calculate:
x^2-81=0
Factor:
(x+9)(x-9)=0
Separate:
x+9=0
x-9=0
Solve:
x=-9
x=9
The positive solution is x=9
Hope this helped!

Answer 2

9

Step-by-step explanation:

To find the positive solution to the equation x^2 + 10 = 91, we'll start by isolating x^2 on one side of the equation. To do this, we'll subtract 10 from both sides:

x^2 + 10 - 10 = 91 - 10

x^2 = 81

Next, we'll take the square root of both sides of the equation to solve for x:

√(x^2) = √(81)

x = ±9

Since we are looking for the positive solution, x = 9.