If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation can be $x^{2} - 5 x + 5 = 0$ .

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Solution

The correct option is A

For a quadratic equation $a x^{2} + b x + c = 0$ ,

When sum and product of roots are given, then we can form the QE by:
$x^{2}$ - (sum of roots)x + product of roots = 0
Hence, substituting we get
$x^{2} - 5 x + 5 = 0$

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Similar questions

If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation can be $x^{2} - 5 x + 5 = 0$ .

x^{2} - 5 x + 6 = 0

x^{2} + 4 x + 5

If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation can be:

x^{2} + 4 x + 5

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