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

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

Sum

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)`.

shaalaa.com

Is there an error in this question or solution?

Solve for x : ` 2x^2+6sqrt3x-60=0`

Find the values of k for which the quadratic equation (3k + 1) x² + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.

Solve the following quadratic equation using formula method only :

`2x + 5 sqrt 3x +6= 0 `

Solve the following quadratic equation using formula method only

25x² + 30x + 7 = 0

`10x -(1)/x` = 3

Form the quadratic equation whose roots are:
`sqrt(3) and 3sqrt(3)`

Find the discriminant of the following equations and hence find the nature of roots: 16x² - 40x + 25 = 0

Choose the correct answer from the given four options :

If the equation 2x² – 6x + p = 0 has real and different roots, then the values of p are given by

What is the value of discriminant for the quadratic equation X² – 2X – 3 = 0?

If roots of a quadratic equation 3y² + ky + 12 = 0 are real and equal, then find the value of ‘k’.