Math, asked by jatharva007, 8 months ago

X2 - 6√5x + 45 using splitting method

Answers

Answered by tanvichhabra29
1

Answer:

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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