X2 - 6√5x + 45 using splitting method
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Step-by-step explanation:
x² - 6√5x + 3
= x² -{(√5 +√6) + (√5 - √6)}x + (√5 - √6)(√5 + √6)
= x² - (√5 + √6)x - (√5 -√6)x + (√5 + √6)(√5 - √6)
= x[x - √5 - √6] - (√5 - √6)[x - √5 - √6]
= [x - √5 - √6][x - √5 + √6]
Hence, x = √5 ± √6 are the zeros of given expression
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