Vieta's formula

Algebra Level 2

find roots using vieta's formula x 2 + 2 x 15 = 0 x^2+2x-15=0

15 and 1 3 and 5 -5 and 3 -5 and 2

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1 solution

Yeldos Balgabekov
Apr 18, 2018

In the equation of the format x 2 + b x + c = 0 x^2+bx+c=0 with roots x 1 x1 and x 2 x2

x 1 x 2 = c x_1 * x_2 = -c

x 1 + x 2 = b x_1 + x_2 = b

Since 15 is negative we are looking for difference. Then, 3 and 5 give 3 5 = 15 3*5=15 and 3 5 = 2 3-5=2

( x 3 ) ( x + 5 ) = 0 (x-3)(x+5)=0

x 1 = 3 , x 2 = 5 x_1 = 3, x_2 = -5

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