Advertisements
Advertisements
Question
In each of the following determine the; value of k for which the given value is a solution of the equation:
kx2 + 2x - 3 = 0; x = 2
Solution
Since, x = 2 is a root of the given equation, therefore, it satisfies the equation i.e.,
k(2)2 + 2 x 2 - 3 = 0
⇒ 4k + 1 = 0
⇒ k = `-(1)/(4)`.
APPEARS IN
RELATED QUESTIONS
Find that value of p for which the quadratic equation (p + 1)x2 − 6(p + 1)x + 3(p + 9) = 0, p ≠ − 1 has equal roots. Hence find the roots of the equation.
Find the values of k for the following quadratic equation, so that they have two equal roots.
kx (x - 2) + 6 = 0
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Determine the nature of the roots of the following quadratic equation :
x2 -5x+ 7= 0
Solve the following quadratic equation using formula method only
`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`
(3x - 5)(2x + 7) = 0
If a is a root of the equation x2 – (a + b)x + k = 0, find the value of k.
If the equation x2 – (2 + m)x + (–m2 – 4m – 4) = 0 has coincident roots, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
Find the value of 'k' so that the quadratic equation 3x2 – 5x – 2k = 0 has real and equal roots.