Question

(3) If one root of the quadratic equation kx2 – 3x – 1 = 0) is 5, then find the
value of k.​

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Equation : Kx² - 3x - 1 = 0

• One root of equation is 5.

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

If one root of the quadratic equation is 5. Then the value of the x will be 5.

________________[Put Values]

→K(5)² - 3(5) - 1 = 0

→25K - 15 - 1 = 0

→25K - 16 = 0

→25K = 16

→K = 16/25

$\Large{\green{\bigstar}}{\boxed{\sf{K = \frac{16}{25}}}}$

∴ Value of K is 16/25