find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients 2 x square - 9 x minus 45
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I don't know the solution of this question
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Step-by-step explanation:
2x^2 - 9x - 45
2x^2 + 6x - 15x - 45
2x ( x + 3 ) - 15 ( x + 3 )
( x + 3 ) ( 2x - 15 )
x = -3 , 15 / 2
alpha = -3 ; beta = 15 / 2
sum of zeroes = alpha + beta
= - 3 + 15 / 2
= -6 + 15 / 2
= 9 / 2
product of zeroes = alpha × beta
= -3 × 15 / 2 = -45 / 2
2x^2 - 9x - 45
a = 2 , b = -9 , c = -45
sum = - b / a
= - ( -9 ) / 2 = 9 / 2
product = c / a
= -45 / 2
hence , verified.
hope it helps..........
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