Question

The quadratic equations ax2+bx+c=0 a≠0 has no real roots if D = b2-4ac

Answer 1

Answer:

the roots of the equation ax2 + bx + c = 0 are not real if b2 - 4ac < 0. As the value of b2 - 4ac determines the nature of roots (solution), b2 - 4ac is called the discriminant of the quadratic equation.

Step-by-step explanation:

greater than 0 but not a perfect square, then the roots are irrational and unequal, ... negative, then the roots are imaginary. For this reason, the expression b^2–4ac is called the discriminant of the quadratic. Answer to your question is in para 4.

Answer 2

Solution :-

If a•x^2 + b•x + c = 0 ,is any quadratic equation,

then its discriminant is given by;

• D = b^2 - 4•a•c

• If D = 0 , then the given quadratic equation has real and equal roots.

• If D > 0 , then the given quadratic equation has real and distinct roots.

• If D < 0 , then the given quadratic equation has unreal (imaginary) roots .

therefore, the quadratic equations ax² + bx + c = 0 where a ≠ 0 has no real roots if D is less than 0 .

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