Advertisements
Advertisements
प्रश्न
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
उत्तर
The equation 3x2 – 4x + 1 = 0 has two real and distinct roots.
D = b2 – 4ac
= (–4)2 – 4(3)(1)
= 16 – 12 > 0
Hence, the roots are real and distinct.
APPEARS IN
संबंधित प्रश्न
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Form the quadratic equation if its roots are –3 and 4.
Find the values of k for which the given quadratic equation has real and distinct roots:
kx2 + 2x + 1 = 0
Find the roots of the equation .`1/(2x-3)+1/(x+5)=1,x≠3/2,5`
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
Solve x2/3 + x1/3 - 2 = 0.
Which of the following equations has no real roots?
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`2x^2 - 6x + 9/2 = 0`
Find whether the following equation have real roots. If real roots exist, find them.
`1/(2x - 3) + 1/(x - 5) = 1, x ≠ 3/2, 5`
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
