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The condition for the sum and product of the roots of the quadratic equation to be equal is - (a) b+c=0 (b)b-c=0 (c) a+c=0 (d) a+b+c=0?
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The condition for the sum and product of the roots of the quadratic eq...
Explanation:

Quadratic Equation:

A quadratic equation is an equation of the form ax²+bx+c=0 where a, b, c are constants and x is a variable.

Sum and Product of Roots:

Let the roots of the quadratic equation ax²+bx+c=0 be α and β. Then,


  • Sum of Roots = α+β = -b/a

  • Product of Roots = αβ = c/a


Condition for Sum and Product of Roots to be Equal:

For the sum and product of roots to be equal,


  • α+β = αβ

  • -b/a = c/a

  • -b = c


Hence, the condition for the sum and product of roots of the quadratic equation ax²+bx+c=0 to be equal is b = c.

Options:

Out of the given options, option (b) b-c=0 satisfies the condition b = c. Hence, the correct answer is (b) b-c=0.
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The condition for the sum and product of the roots of the quadratic eq...
A
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