Question

what is the discriminent of the quadratic equation 3root 3xsquare +10x +root 3 ?
plz tell​

Answer 1

EXPLANATION.

Discriminant of the quadratic equation,

⇒ F(x) = 3√3x² + 10x + √3.

A we know that,

Discriminant = b² - 4ac.

⇒ D = b² - 4ac.

⇒ D = (10)² - 4(3√3)(√3).

⇒ D = 100 - 36.

⇒ D = 64.

                                                                                           

MORE INFORMATION.

Nature of the factors of the quadratic expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal or complex conjugate.

Answer 2

★$\huge\bf{\blue{\underline{Question:-}}}$

• what is the discriminent of the quadratic equation 3root 3xsquare +10x +root 3 ?

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★$\huge\bf{\red{\underline{Answer:-}}}$

☯$\large\sf{\pink{64}}$

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★$\huge\bf{\green{\underline{Solution:-}}}$

➙$\large\sf{F(x)=3√3x^{2}+10x+√3}$

☯$\huge\sf{\blue{\underline{Then,}}}$

☯ ➙$\large\sf{D\:(Discriminant) \:=\:b^{2}-4ac}$

☯ ↷ $\large\sf{D\:(Discriminant)\:=\: (10)^{2}-4(3√3(√3))}$

☯ ➙$\large\sf{D\:(Discriminant)\:=\:\:\:\:100-36}$

☯ ➙$\large\sf{D\:(Discriminant)\:=\:64}$

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