(C) The given quadratic equation is in the form $ax^{2}+bx+c=0$.Comparing $x^{2}-5x-14=0$ with the standard form,we get $a=1$,$b=-5$,and $c=-14$.The d

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(C) The given quadratic equation is in the form $ax^{2}+bx+c=0$.Comparing $x^{2}-5x-14=0$ with the standard form,we get $a=1$,$b=-5$,and $c=-14$.The discriminant $D$ is given by the formula $D=b^{2}-4ac$.Substituting the values,we get $D=(-5)^{2}-4(1)(-14)$.$D=25+56$.$D=81$.Therefore,the discriminant is $81$.

Class 10 Mathematics Quadratic Equations Nature of Roots

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Find the discriminant of the following quadratic equation: $x^{2}-5x-14=0$.

A
$12$
B
$55$
C
$81$
D
$70$

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Nature of Roots

Find whether the following equation has real roots. If real roots exist,find them.
$x^{2}+5 \sqrt{5} x-70=0$

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Find the discriminant of the following quadratic equation: $x^{2}-5x-14=0$.

Similar Questions

Find whether the following equation has real roots. If real roots exist,find them.$x^{2}+5 \sqrt{5} x-70=0$

Find the discriminant of the following quadratic equation: $x^{2}-7x+10=0$

The roots of the quadratic equation $x^{2}+18x+81=0$ are ..... .

The value of discriminant $D$ of the quadratic equation $25x^{2} - 10x + 1 = 0$ is ..... .

If both the roots of a quadratic equation $ax^2 + bx + c = 0$ $(a \neq 0)$ are equal,then ..... .

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Find whether the following equation has real roots. If real roots exist,find them.
$x^{2}+5 \sqrt{5} x-70=0$