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 $x^{2} - 5 x + 5 = 0$ .

True

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False

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Solution

The correct option is A
True

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

sum of roots = $- \frac{b}{a}$

product of roots = $\frac{c}{a}$ .

sum of roots = 5 = $- \frac{b}{a}$

product of roots = 5 = $\frac{c}{a}$ ,

Thus, quadratic equation is $x^{2} - 5 x + 5 = 0$ .

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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 $x^{2} - 5 x + 5 = 0$ .

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

x^{2} + 4 x + 5

α a n d β

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

\frac{α}{β} a n d \frac{β}{α}

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