Mathematics
Which of the following equations has two real and distinct roots ?
x2 - 5x + 6 = 0
x2 - 3x + 6 = 0
x2 - 2x + 5 = 0
x2 - 4x + 6 = 0
Quadratic Equations
13 Likes
Answer
Comparing equation x2 - 5x + 6 = 0, with ax2 + bx + c = 0, we get :
a = 1, b = -5 and c = 6.
By formula,
D = b2 - 4ac
= (-5)2 - 4 × 1 × 6
= 25 - 24
= 1; which is positive.
Since, a, b and c are real numbers; a ≠ 0 and b2 - 4ac > 0
∴ Roots are real and distinct.
Hence, Option 1 is the correct option.
Answered By
9 Likes
Related Questions
Solve for x using the quadratic formula. Write your answer correct to two significant figures.
(x - 1)2 - 3x + 4 = 0
Equation 2x2 - 3x + 1 = 0 has :
distinct and real roots
no real roots
equal roots
imaginary roots
If the roots of x2 - px + 4 = 0 are equal, the value (values) of p is/are :
4 and -4
4
-4
4 or -4
Which of the following equations has imaginary roots ?
x2 + 10x - 3 = 0
2x2 - 5x + 9 = 0
x2 + 5x + 4 = 0
5x2 - 8x - 1 = 0