## Sum and product of roots of quadratic equation

**Problem**

Find the sum and product of roots of the quadratic equation x^{2} - 2x + 5 = 0.

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**Problem**

Find the sum and product of roots of the quadratic equation x^{2} - 2x + 5 = 0.

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**Problem**

Determine the equation whose roots are the reciprocals of the roots of the equation 3x^{2} - 13x - 10 = 0.

**Problem**

In a quadratic equation problem, one student made a mistake in copying the coefficient of *x* and got roots of 3 and -2. Another student made a mistake in copying the constant term and got the roots of 3 and 2. What are the correct roots?

**Quadratic Equation**

Quadratic equation is in the form

$ax^2 + bx + c = 0$

Where

*a*, *b*, & *c* = real-number constants

*a* & *b* = numerical coefficient or simply coefficients

*a* = coefficient of *x*^{2}

*b* = coefficient of *x*

*c* = constant term or simply constant

*a* cannot be equal to zero while either *b* or *c* can be zero

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