NATURE OF ROOTS

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

• Real, irrational, unequal

• Real, rational, equal

• No real roots

• Real, rational, unequal

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

• Real, rational, unequal

• Real, irrational, unequal

• Real, rational, equal

• No real roots

What is the nature of the roots a quadratic equation if the value of the discriminant is zero?

• Real, rational, unequal

• Real, irrational, unequal

• Real, rational, equal

• No real roots

Which of the following statements is true?

• If the discriminant is greater than zero and a perfect square, then there are two real solutions.

• If the discriminant is greater than zero and is not a perfect

  square, then there are two real solutions.

Which of the following is the discriminant of a quadratic equation?

•  $b^2+4ac$  

•  $b^2-4ac$  

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

• Real

• Rational

• Unequal

• Equal

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

• D > 0

• D = 0

• D < 0

What do you mean by “nature” when we say nature of the roots?

• solution

• order of numbers

• type of numbers

Given the quadratic equation x^2+7x+10=0 , the discriminant is equal to 9. Which of the following is not the nature of the roots?

• Real

• Rational

• Unequal

• Equal

For a quadratic equation to have a real solution, which of the following should not be true?

• $b^2-4ac<0$

• $b^2-4ac>0$

• $b^2-4ac=0$