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
Advertisements
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)`.
RELATED QUESTIONS
Without solving, examine the nature of roots of the equation 2x2 + 2x + 3 = 0
For what value of m, are the roots of the equation (3m + 1)x2 + (11 + m) x + 9 = 0 equal?
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 2(5 + 2k)x + 3(7 + 10k) = 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)`.
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Find the value (s) of k for which each of the following quadratic equation has equal roots : (k – 4) x2 + 2(k – 4) x + 4 = 0
Equation (x + 1)2 – x2 = 0 has ____________ real root(s).
If 4 is a root of equation x2 + kx – 4 = 0; the value of k is ______.
