Question

3x² – 17x+ 25 = 0 find the root of the equation​

Answer 1

Answer:

Given equation

$3 {x}^{2} - 17x + 25 = 0$

is a quadratic equation in x.

This equation does not have real roots as its discriminant is less than zero.

so we can calculate its Complex roots as shown below :-)

$3 {x}^{2} - 17x + 25 = 0$

USING QUADRATIC FORMULA

$x = \dfrac{17 \pm \sqrt{ {17 }^{2} -( 4 \times 3 \times 25) } }{6} \\ \\ x = \dfrac{17 \pm \sqrt{289 - 300} }{6} \\ \\ x = \dfrac{17 \pm \sqrt{ - 11} }{6} \\ \\ x = \dfrac{17 \pm \sqrt{11} \iota}{6}$

So,

its roots will be

$\dfrac{17 + \sqrt{11} \iota}{6} \\ and \\ \frac{17 - \sqrt{11} \iota}{6}$