Math, asked by patel4536, 4 months ago

3x²+2√5x -5=0 factorize, step-by-step with full method

Answers

Answered by lia4374

1

Answer:

By splitting the middle term:

3x² + 2√5x - 5 = 0

⇒ 3x² + 3√5x - √5x - 5 = 0

[∵ 3 × 5 = 15, 15 = 3 × 5 = 3 × √5 × √5, 3√5 - √5 = 2√5]

⇒ 3x(x + √5) - √5(x + √5)

⇒ (x + √5)(3x - √5)

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