Question

(3) Find the discriminant of x² + 5x - 6 = 0
(A) 49
(B) 1
(C) 5
(D) 6.
anwer is (A)49.
I hope I help you.❤️
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Answer 1

Given Equation

x² + 5x - 6 = 0

To find

Discriminant (D)

Formula

D = b² - 4ac

Now Compare with

ax² + bx + c = 0

We get

a = 1 , b = 5 and c = -6

Put the value on formula

D=(5)² - 4(1)(-6)

D = 25 + 24

D = 49

Answer

D = 49

More Information

Now we Factorise the equation by using middle term splitting

We have

x² + 5x - 6 = 0

x² + 6x - x - 6 = 0

x(x + 6)-1(x + 6) = 0

(x -1)(x + 6)=0

x = 1 and x = -6

Answer 2

Given:

• A quadratic equation is given: x² + 5x - 6 = 0

To find:

• We need to find the discriminant of the given equation.

Solution:

⟶ x² + 5x - 6 = 0

Here,

• a = 1
• b = 5
• c = -6

By applying Discriminant formula, we have:

⟶ D = b²- 4ac

⟶ D = 5² - 4×1×(-6)

⟶ D = 25-(-24)

⟶ D = 25+24

⟶ D = 49

Hence, the discriminant of x² + 5x - 6 = 0 is 49.

Know more:

• Discriminant of a quadratic equation tells us whether the quadratic equation has real roots or not.
• Simply, we can say that Discriminant determines the nature of the roots.