Question

if a and b
are the roots of the quadratic
equation x²+2x-3=0 then a²+b² =​

Answer 1

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To Solve:

• if a and b are the roots of the quadratic equation x²+2x-3=0 then a²+b² =

Solⁿ:

• Factorize the eqⁿ

x² +2x -3 = 0

x² +3x -x -3 = 0

x( x+3 ) -1( x +3 ) = 0

( x+3 ) ( x -1 ) = 0

Roots are: x = -3, x = 1

_____________________

Find: a² + b² =

• Taking -3 as "a" and 1 as "b"

= (-3)² + (1)²

9 + 1

= 10

So, a² + b² = 10

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Answer 2

hope this answer is helpful!!!!