Question

Determine the nature of roots of the quadratic equation x2 + 7x – 6 = 0​

Answer 1

Answer:

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Answer 2

GIVEN:

• x² + 7x - 6 = 0

TO FIND:

• Nature of the roots.

SOLUTION:

Comparing the equation to standard form of quadratic equation.

• ax² + bx + c

We get :

• a = 1
• b = 7
• c = -6

Discriminant (D) = b² - 4ac

• 7² - 4(1)(-6)
• 49 - (-24)
• 49 + 24
• 73

Since, the discriminant is > 0 and it is not a perfect square hence the roots are real, rational and distinct.

LEARN MORE:

When the discriminant is > 0 and it is a perfect square, the roots are real, irrational and distinct. If the discriminant is = 0, the roots are real and equal. If the discriminant is < 0, the roots are imaginary and distinct.

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