Nature of Roots (Grade 11 NSC Matric Mathematics): Quizzes

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Nature of Roots
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What is the discriminant in a quadratic equation?

Expression under square root in formula

For ax2+bx+c=0ax^2 + bx + c = 0, what is the formula for the discriminant?

Δ=b2−4ac\Delta = b^2 - 4ac

What does Δ<0\Delta < 0 indicate about the roots?

Roots are imaginary

If Δ=0\Delta = 0, what can we conclude about the roots?

Roots are real and equal

For x2−6x+5=0x^2 - 6x + 5 = 0, what is Δ\Delta?

1616

If Δ=25\Delta = 25 for a quadratic, what type are the roots?

Real, unequal and rational

If Δ=7\Delta = 7 for a quadratic, what type are the roots?

Real, unequal and irrational

For roots to be real and equal, what must Δ\Delta equal?

00

What is the first step to determine nature of roots?

Check equation is in standard form

What does Δ≥0\Delta \geq 0 indicate?

Roots are real

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