Question

Write the quadratic equation, ifthe sum of the roots is 15 and the product of roots is 50.
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Answer 1

Answer:

x²-15x+50 = 0

Step-by-step explanation:

let a and b be the roots of the quadratic equation

quadratic equation = x²-(a+b)x+ab -(1)

a+b is the sum of the roots = 15 -(2)

ab is the product of the roots = 50 -(3)

hence, from (1), (2), and (3),

quadratic equation = x²-15x+50