find the sum and product of the roots for the quadratic equation x^2+3x-28=0
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Answer:
Sum of roots = -3
Product of roots = -28
Step-by-step explanation:
x² + 3x - 28 = 0
⇒x² + 7x - 4x - 28 = 0
⇒ x (x + 7) - 4(x + 7) = 0
⇒ (x - 4) (x + 7) = 0
∴ x = 4, -7
Sum of roots = -7 + 4 = -b/a = 3
product of roots = -7 × 4 = c/a = 28
Additional information:-
(1) Standard form of quadratic equation:- ax² + bx + c = 0
(2) Sum of roots of a quadratic equation with α and β as its roots = -b/a
(3) Product of roots of a quadratic equation with α and β as its roots = c/a
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