ahseul30 ahseul30

08-07-2021
Mathematics

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x²-7x+5 in the form (x-a)²-b

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VirαtKσhli VirαtKσhli

08-07-2021

Answer:

( x - 3.5)² - 29/4

Step-by-step explanation:

Given :-

x² - 7x + 5

Writing in ( x - a)² - b form ,

x² - 7x + 5
x² - 7 * 2/2 * x + 5
x² - (7/2) * 2 * x + 5
x² - (7/2)*2*x +(7/2)²-(7/2)²+5
( x - 7/2)² + 5 - 49/4
( x - 7/2)² + ( 20-49)/4
( x - 3.5)² - 29/4

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