Advertisements
Advertisements
प्रश्न
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
Advertisements
उत्तर
2x2 + 15x + 30 = 0
Here a = 2, b = 15, c = 30
∴ D = b2 - 4ac
= (15)2 - 4 x 2 x 30
= 225 - 240
= -15
∴ Discriminant = -15
∵ D < 0
∴ Root are not real.
APPEARS IN
संबंधित प्रश्न
Solve for x : ` 2x^2+6sqrt3x-60=0`
If the roots of the equations ax2 + 2bx + c = 0 and `bx^2-2sqrt(ac)x+b = 0` are simultaneously real, then prove that b2 = ac.
For what values of k, the roots of the equation x2 + 4x +k = 0 are real?
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 2x + 4 = 0
Given that one root of the quadratic equation ax2 + bx + c = 0 is three times the other, show that 3b2 – 16ac.
Find the nature of the roots of the following quadratic equations: `x^2 - (1)/(2)x - (1)/(2)` = 0
If the roots of the equations ax2 + 2bx + c = 0 and `"bx"^2 - 2sqrt"ac" "x" + "b" = 0` are simultaneously real, then
Find whether the following equation have real roots. If real roots exist, find them.
5x2 – 2x – 10 = 0
If the coefficient of x2 and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.
Which of the following equations has two real and distinct roots?
