under which condition a quadratic equation ax2+bx+c=0 has no real roots
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Case 1: No Real Roots
Since the quadratic formula requires taking the square root of the discriminant, a negative discriminant creates a problem because the square root of a negative number is not defined over the real line. An example of a quadratic function with no real roots is given by, f(x) = x2 − 3x + 4.
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Solution
Step-by-step explanation:
When a , b and c are real numbers a ≠ 0 when discriminant is negative then the roots a and b of the quadratic equation ax2+bx+c=0 are unequal and not real .
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