Quiz about Nature of Solutions

Question 1

If a,b and c are real and $$b^2-4ac<0$$ , then the roots of the equation are

Accepted Answer

No real roots

Answer

Real roots

Answer

Real and equal

Answer

Real and unequal

Question 2

Which of the following equations has no real roots?

Accepted Answer

$$3s^2-2s=-5$$

Answer

$$2x^2+4x=3$$

Answer

$$t^2-8t-4=0$$

Answer

$$-2r^2+r+7=0$$

Question 3

If the discriminant of a quadratic equation is $$-8$$ , how many real roots will the equation have?

Accepted Answer

0

Answer

2

Answer

1

Answer

-1

Question 4

If a quadratic equation has no real roots the value of the discriminant could be

Accepted Answer

Answer

Answer

Answer

Question 5

Which of these equations has two real roots?

Accepted Answer

$$x^2-5x=-4$$

Answer

$$x^2+x+7=0$$

Answer

$$x^2+8x+16=0$$

Answer

$$x^2-10x+12=0$$

Question 6

Determine the nature of the solution(s) for the following quadratic equation:

0= -x² - 2x + 63

Accepted Answer

2 real solutions - Rational

Answer

2 imaginary solutions

Answer

2 real solutions - Irrational

Answer

1 real solution- Rational

Question 7

Determine the nature of the solution(s) for the following quadratic equation:

0= 5x² - 8x + 5

Accepted Answer

2 imaginary solutions

Answer

2 real solutions - Rational

Answer

2 real solutions - Irrational

Answer

1 real solution- Rational

Question 8

What is the nature of the roots of the quadratic equation whose discriminant is a perfect square?

Accepted Answer

Real, rational, unequal

Answer

Real, irrational, unequal

Answer

Real, rational, equal

Answer

No real roots

Question 9

If the value of $$𝑏^2−4𝑎𝑐<0$$ , then, what is the nature of the roots?

Accepted Answer

No real roots

Answer

Real, rational, unequal

Answer

Real, irrational, unequal

Answer

Real, rational, equal

Question 10

Which of the following is not a nature of the roots if the discriminant is greater than 0 and a perfect square?

Accepted Answer

Equal

Answer

Real

Answer

Rational

Answer

Unequal

Question 11

If a quadratic equation has no real solution, then which of the following is the value of the discriminant?

Accepted Answer

D < 0

Answer

D > 0

Answer

D = 0

Nature of Solutions

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