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Alenkinab [10]
3 years ago
15

Solve by factoring 25x^2+1=10

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

x = 3/5, -3/5

Step-by-step explanation:

Levart [38]3 years ago
3 0

Answer:

x = ± \frac{3}{5}

Step-by-step 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 = \frac{3}{5}

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - \frac{3}{5}

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