Question

Find the nature of roots of the following quadratic equations. If the real roots exist, find them.

1) x2-3x+4=0

2) 3x2-4x+1=0

3) 4x2+7x+2=0

Answer 1

Answer:

Solution: A quadratic equation, ax2 + bx + c = 0; a ≠ 0 will have two distinct real roots if its discriminant, D = b2 - 4ac > 0. Hence, the equation x2 –3x + 4 = 0 has no real roots. ... Hence, the equation (x + 1) (x – 2) + x = 0 has two distinct real roots.

Answer 2

Step-by-step explanation:

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