Advertisements
Advertisements
प्रश्न
If a = 1, b = 8 and c = 15, then find the value of `"b"^2 - 4"ac"`
Advertisements
उत्तर
a = 1, b = 8 and c = 15
`"b"^2 - 4"ac"` = `8^2 - 4(1)(15)`
= 64 - 60
= 4
`"b"^2 - 4"ac"` = 4
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 4x2 – 4x + 1 = 0
If ad ≠ bc, then prove that the equation (a2 + b2) x2 + 2 (ac + bd) x + (c2 + d2) = 0 has no real roots.
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
In the following determine the set of values of k for which the given quadratic equation has real roots:
kx2 + 6x + 1 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
3x2 + 2x + k = 0
If a, b, c are real numbers such that ac ≠ 0, then show that at least one of the equations ax2 + bx + c = 0 and -ax2 + bx + c = 0 has real roots.
Determine the nature of the roots of the following quadratic equation :
x2 +3x+1=0
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 5x + 5 = 0
Find the value(s) of p for which the quadratic equation (2p + 1)x2 – (7p + 2)x + (7p – 3) = 0 has equal roots. Also find these roots.
Find the values of m so that the quadratic equation 3x2 – 5x – 2m = 0 has two distinct real roots.
If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.
(m – 12)x2 + 2(m – 12)x + 2 = 0
If `1/2` is a root of the equation `"x"^2 + "kx" - (5/4)` = 0 then the value of k is:
Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is ______.
(x2 + 1)2 – x2 = 0 has ______.
Find the roots of the quadratic equation by using the quadratic formula in the following:
2x2 – 3x – 5 = 0
If x = 3 is one of the roots of the quadratic equation x2 – 2kx – 6 = 0, then the value of k is ______.
If one root of equation (p – 3) x2 + x + p = 0 is 2, the value of p is ______.
One root of equation 3x2 – mx + 4 = 0 is 1, the value of m is ______.
