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
Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0
Find the value 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 nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 3x + 5 = 0
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 6x + 3 = 0
Determine the nature of the roots of the following quadratic equation:
(x - 2a)(x - 2b) = 4ab
In the following determine the set of values of k for which the given quadratic equation has real roots:
2x2 − 5x − k = 0
Show that the equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.
If 1 is a root of the quadratic equation 3x2 + ax – 2 = 0 and the quadratic equation a(x2 + 6x) – b = 0 has equal roots, find the value of b ?
What is the nature of roots of the quadratic equation 4x2 − 12x − 9 = 0?
Solve the following quadratic equation using formula method only
`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
If one root of the equation 2x² – px + 4 = 0 is 2, find the other root. Also find the value of p.
Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:
(k + 1)x2 + (2k + 1)x - 9 = 0, k + 1 ≠ 0.
Given that one root of the quadratic equation ax2 + bx + c = 0 is three times the other, show that 3b2 – 16ac.
Find the value(s) of p for which the equation 2x2 + 3x + p = 0 has real roots.
If (1 – p) is a root of the equation x2 + px + 1 – p = 0, then roots are:
If α, β are roots of the equation x2 + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is:
Find whether the following equation have real roots. If real roots exist, find them.
8x2 + 2x – 3 = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
`x^2 - 3sqrt(5)x + 10 = 0`
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
