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.
Advertisements
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
Solve the equation by using the formula method. 3y2 +7y + 4 = 0
Find the value of k for which the roots are real and equal in the following equation:
3x2 − 5x + 2k = 0
Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
Write the value of k for which the quadratic equation x2 − kx + 4 = 0 has equal roots.
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0
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:
(x2 + 1)2 – x2 = 0 has:
(x2 + 1)2 – x2 = 0 has ______.
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`2x^2 - 6x + 9/2 = 0`
If b and c are odd integers, then the equation x2 + bx + c = 0 has ______.
