Question

the value of discriminant of equation x2+5x-5=0 is​

Answer 1

EXPLANATION.

Discriminant of the equation.

⇒ x² + 5x - 5 = 0.

As we know that,

⇒ D = Discriminant Or b² - 4ac.

⇒ D = (5)² - 4(1)(-5).

⇒ D = 25 + 20.

⇒ D = 45.

⇒ D > 0 : Roots are real and unequal.

                                                                                                                     

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > 0.

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

(3) Roots are real and equal, if b² - 4ac = 0.

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

Answer 2

Answer:

Given :-

• x² + 5x - 5 = 0

To Find :-

• What is the value of discriminant.

Formula Used :-

$\bigstar$ Discriminant Formula :

$\dashrightarrow \sf\boxed{\bold{\pink{Discriminant =\: b^2 - 4ac}}}$

Solution :-

Given Equation :

$\mapsto \bf x^2 + 5x - 5 =\: 0$

By comparing with ax² + bx + c = 0 we get,

◆ a = 1

◆ b = 5

◆ c = - 5

According to the question by using the formula we get,

$\implies \sf\bold{\purple{Discriminant =\: b^2 - 4ac}}$

$\implies \sf Discriminant =\: (5)^2 - 4(1)(- 5)$

$\implies \sf Discriminant =\: (5 \times 5) - 4 \times 1 \times (- 5)$

$\implies \sf Discriminant =\: 25 - 4 \times (- 5)$

$\implies \sf Discriminant =\: 25 + 20$

$\implies \sf\bold{\red{Discriminant =\: 45}}$

Since, D > 0

So, the given equation has real and distinct roots.

$\therefore$ The discriminant is 45 .