Question

Which of the following is the value of the discriminant for X²+7x+1=0 *
A) -5
B) 17
C) 45​

Answer 1

EXPLANATION.

Equation : x² + 7x + 1 = 0.

As we know that,

D = Discriminant Or b² - 4ac.

⇒ D = (7)² - 4(1)(1).

⇒ D = 49 - 4.

⇒ D = 45.

Option [C] is correct answer.

                                                                                                                     

MORE INFORMATION.

Nature of roots of quadratic expression.

(1) Roots are real and unequal, 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

Answer:

Question :-

✎ Which of the following is the value of the discriminant for x² + 7x + 1 = 0 :-

A) -5

B) 17

C) 45

Given :-

• x² + 7x + 1 = 0

Find Out :-

• What is the discriminate value of that equation.

Solution :-

✭ x² + 7x + 1 = 0

here,

⊙ a = 1

⊙ b = 7

⊙ c = 1

As we know that :

✯ $\red{ \boxed{\sf{Discriminate\: (D) =\: b^2 - 4ac}}}$ ✯

By putting values we get,

➙ Discriminate = (7)² - 4(1)(1)

➙ Discriminate = 49 - 4 × 1 × 1

➙ Discriminate = 49 - 4

➙ ${\small{\bold{\purple{\underline{Discriminate = 45}}}}}$

Henceforth, the discriminate value of that equation is 45.

Correct options is C) 45.

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$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Brainly\: Extra\: Shots :-} }}}$

☣Discriminate :-

• The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots.
• The discriminant formula for the general quadratic equation is Discriminant, D = b² – 4ac.

☣ Nature Of Roots :-

★ The nature of roots are as follows:

☯ If discriminant > 0, then the roots are real and unequal

☯ If discriminant = 0, then the roots are real and equal

☯ If discriminant < 0, then the roots are not real (we get a complex solution)