Advertisements
Advertisements
प्रश्न
Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.
उत्तर
Let the first root be α, then the second root will be 6a
Sum of roots = `(-"b")/"a"`
`=> "a" + 6"a" = 14/"p"`
`=> 7"a" = 14/"p"`
`=> "a" = 2/"p"`
Product of roots = `"c"/"a"`
`=> "a"xx 6"a" = 8/"p"`
`=> 6"a"^2 = 8/"p"`
`=> 6(2/"p")^2 = 8/"p"`
`=>6xx4/"p"^2= 8/"p"`
`=>"p"=6xx4/8`
`=> "p" = 3`
Hence, the value of p is 3.
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 4x2 – 4x + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + 4x + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
(3k+1)x2 + 2(k + 1)x + k = 0
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
Form the quadratic equation whose roots are:
`2 + sqrt(5) and 2 - sqrt(5)`.
Find the nature of the roots of the following quadratic equations: `x^2 - 2sqrt(3)x - 1` = 0 If real roots exist, find them.
Choose the correct answer from the given four options :
If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are
Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:
If the one root of the equation 4x2 – 2x + p – 4 = 0 be the reciprocal of the other. The value of p is:
If the quadratic equation kx2 + kx + 1 = 0 has real and distinct roots, the value of k is ______.
