Advertisements
Advertisements
प्रश्न
If `(2)/(3)` is a solution of the equation 7x2 + kx – 3 = 0, find the value of k.
उत्तर
7x2 + kx – 3 = 0, x = `(2)/(3)`
∵ x = `(2)/(3)` is its solution
∵ `7(2/3)^2 + k(2/3) - 3` = 0
⇒ `7 xx (4)/(9) + (2)/(3)k - 3` = 0
⇒ `(28)/(9) - 3 + (2)/(3)k` = 0
⇒ `(2)/(3)k = 3 - (28)/(9)`
⇒ `(2)/(3)k = (27 - 28)/(9)`
⇒ `(2)/(3)k = (-1)/(9)`
⇒ k = `(-1)/(9) xx (3)/(2)`
= `-(1)/(6)`
Hence k = `-(1)/(6)`.
APPEARS IN
संबंधित प्रश्न
If α + β = 5 and α3 +β3 = 35, find the quadratic equation whose roots are α and β.
The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in the return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.
In the following, determine whether the given values are solutions of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3, x = 2, x =3
Solve the following equation using the formula:
x2 + 2x – 6 = 0
Solve the following equation using the formula:
`(2x + 3)/(x + 3) = (x + 4)/(x + 2)`
`x^2+3sqrt3-30=0`
`4x^2+4bx-(a^2-b^2)=0`
If `-(1)/(2)` is a solution of the equation 3x2 + 2kx – 3 = 0, find the value of k.
Solve the following equation by using formula :
4x2 – 4ax + (a2 – b2) = 0
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Which of the following is a quadratic equation?
