Question

5x2 -88x+665 solve by spilting method

Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

Answer:

$x = 8 + 7.45386 \: i$

or

$x = 8 - 7.45386 \:$

Explanation:

Given:

$5 {x}^{2} - 88x + 665 = 0$

To Calculate:

Value of x by split method

This equation cannot be solved by split method, so we have to solve it by quadratic formula.

Quadratic Formula

$\frac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac } }{2a}$

Here,

a=5

b=-88

c=665

Substituting the value of a, b and c in the above formula, we get:

$\frac{ - ( - 88) \: \pm \: \sqrt{ {( - 88)}^{2} - 4 \times 5 \times 665 } }{2 \times 5}$

$x = \frac{88 \: \pm \: \sqrt{7744 - 13300} }{10}$

The discriminant has the root in negative so we have to simplify the radical

$x = \frac{88 \:\pm \: 2 \sqrt{1389 \: i} }{10}$

$x = \frac{88}{10} \pm \frac{ \sqrt{1389 \: i} }{5}$

$x = 8.8 \: \pm \: 7.45386 \: i$

$x = 8 + 7.45386 \: i$

or

$x = 8 - 7.45386 \:$

In such types of questions, we simply the radical