Factorize xsquare minus2√5+3
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ANSWER:(x - (√5 +√2)) (x -(√5 - √2)) = 0
Step-by-step explanation:
x²- 2√5 + 3 = 0
⇒ x = ( 2√5 ± √((2√5)² - 4(3)) ) ÷ 2
⇒ x = (2√5 ± √(20-12)) ÷ 2
⇒ x = (2√5 ± 2√2) ÷ 2
⇒ x = √5 ± √2
∴ x²- 2√5 + 3 = 0
(x - (√5 +√2)) (x - (√5 - √2)) = 0
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