Question

Solve by factoring 25x^2+1=10

Answer 1

x = 3/5, -3/5

Explanation:

Answer 2

x = ±
`(3)/(5)`

Explanation:

Given

25x² + 1 = 10 ← subtract 10 from both sides

25x² - 9 = 0 ← in standard form

note that 25x² - 9 is a difference of squares and factors as

(5x - 3)(5x + 3) = 0

Equate each factor to zero and solve for x

5x - 3 = 0 ⇒ 5x = 3 ⇒ x =
`(3)/(5)`

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
`(3)/(5)`