Advertisements
Advertisements
प्रश्न
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Advertisements
उत्तर
`px^2 - 4x + 3 = 0`
Here a = p, b = -4 and c = 3
Given equation has equal roots then D = 0
`=> b^2 - 4ac = 0`
`=> [-4]^2 - 4(p)(3) = 0`
`=> 16 - 12p = 0`
`=> -12p = -16`
`=> p = (-16)/(-12) = 4/3`
संबंधित प्रश्न
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
Find the roots of the following quadratic equation by factorisation:
100x2 – 20x + 1 = 0
Solve for x :
`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
The hypotenuse of a right triangle is `3sqrt10`. If the smaller leg is tripled and the longer leg doubled, new hypotenuse wll be `9sqrt5`. How long are the legs of the triangle?
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve the following equation: a2b2x2 + b2x - a2x - 1 = 0
Solve the following equation by factorization
x2– 4x – 12 = 0,when x∈N
Solve the following equation by factorization
`x^2/(15) - x/(3) - 10` = 0
