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if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²
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if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²
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Mathematics
2 years
2021-07-31T12:34:41+00:00
2021-07-31T12:34:41+00:00 1 Answers
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Solution:–
Let’s find roots of x² – 3x + 2
=> x² – 3x + 2 = 0.
=> x² – x – 2x + 2 = 0.
=> x ( x – 1 ) -2 ( x – 1) = 0.
=> ( x – 1 ) ( x – 2 ) = 0.
=> x = 2, 1.
Now
So , equⁿ would be ,
=> x² – ( 9 + 1)x + 9×1=0.
=> x² – 10x + 9=0.