Question

Find discriminat , D for2x^2 + 3x + 1 = 0

Answer 1

GIVEN:

★$2x^{2}+3x+1$

★Discriminant is D.

TO FIND:

★Discriminant of the given quadratic equation.

CONCEPT USED:

★This equation is similar to equation in $ax^{2}+bx+c$ form.

★Discriminant = $b^{2}-4ac$

ANSWER:

Here • a = 2

• b = 3

& •c = 1

We know,

$\large\green{\boxed{Discriminant = b^{2}-4ac}}$

=>$D = (3) ^{2}-4\times2\times1$

=>$D =9-8$

. °.$D = 1$

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$\large{\red{\underline{\underline{Some\: more\: facts}}}}$

When

→$b^{2}-4ac>0$ •the roots are rational.

→$b^{2}-4ac<0$ •the roots are complex conjugates.