Advertisements
Advertisements
प्रश्न
If the discriminant of the quadratic equation 3x2 - 2x + c = 0 is 16, then the value of c is ______.
विकल्प
1
0
-1
`sqrt2`
उत्तर
If the discriminant of the quadratic equation 3x2 - 2x + c = 0 is 16, then the value of c is -1.
Explanation:
The quadratic equation 3x2 - 2x + c = 0 has a discriminant of 16, we can set up the equation for the discriminant:
D = (-2)2 - 4(3)c = 16
4 - 12c = 16
-12c = 12
c = -1
APPEARS IN
संबंधित प्रश्न
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 + px + 3 = 0\]
The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
Solve the following equation by factorization
(x – 4)2 + 52 = 132
Solve the following equation by factorization
a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0
If the product of two consecutive even integers is 224, find the integers.
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.
