Question

find the zeros of the polynomial f of x is equal to x square minus 17 +30

Answer 1

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f( x ) = x² - 17x + 30


x² - 17x + 30 = 0


=> x² - 15x - 2x + 30 = 0


=> x( x - 15 ) - 2 ( x - 15 ) = 0


=> ( x - 15 )( x - 2 ) = 0


=> x - 15 = 0. or. x - 2 = 0


=> x = 15. or. x = 2


So the roots of given quadratic equation are 15 & 2.


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