The number of real roots of the equation x-2 - 3x - 5 - 0 is-012Infinite

The correct option is A 0The given equation is x^2 3x+5 = 0 nbsp;is a quadratic equation. If we compare to the standard form of quadratic equation ax^2+bx+c ...

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Mathematics

Nature of Roots of a Quadratic Equation

The number of...

Question

The number of real roots of the equation $x^{2} - 3 x + 5 = 0$ is:

0.0

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Solution

The correct option is A 0.0
The given equation is $x^{2} - 3 x + 5 = 0$ is a quadratic equation.
If we compare to the standard form of quadratic equation

$a x^{2} + b x + c = 0, a = 1, b = - 3 a n d c = 5.$

The discriminant
$b^{2} - 4 a c = (- 3)^{2} - 4 (1) (5) = 9 - 20 = - 11$ .

Since $b^{2} - 4 a c < 0$ , the equation will not have real roots.

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The number of real roots of the equation x2−3x+5=0 is:

The correct option is A 0.0The given equation is x2−3x+5=0 is a quadratic equation. If we compare to the standard form of quadratic equation ax2+bx+c=0,a=1,b=−3 and c=5. The discriminant b2−4ac=(−3)2−4(1)(5)=9−20=−11. Since b2−4ac<0, the equation will not have real roots.

The number of real roots of the equation $x^{2} - 3 x + 5 = 0$ is: