Question

4x²-6/4x=-10

Find the value of x by factorization method

@Brainly Moderator

@Best Users

Spamming strictly prohibited!!

​

Answer 1

Answer:

4*10-6 (IF 4x=10)

40-6

34

Answer 2

$\sf\huge\bold{Answer:}$

Given :

$\tt\ \frac{4 {x}^{2} - 6 }{4} = - 10$

To find :

Value of x using factorisation

Solution :

$\tt\ \implies \frac{4 {x}^{2} - 6 }{4} = - 10$

• Multiplying 4 on both sides.

$\tt\ \implies \frac{4 {x}^{2} - 6 }{4} \times 4 = - 10 \times 4$

$\tt\ \implies \frac{4 {x}^{2} - 6 }{ \cancel4} \times \cancel4 = - 40$

$\tt\ \implies 4 {x}^{2} - 6 = - 40$

• Adding 40 on both sides

$\tt\ \implies 4 {x}^{2} - 6 + 40 = - 40 + 40$

$\tt\ \implies 4 {x}^{2} + 34 = 0$

• Factorising Quadratic equation

$\tt\ \implies 2(2 {x}^{2} + 17) = 0$

• Dividng 2 on both sides

$\tt\ \implies (2 {x}^{2} + 17) = \frac{0}{2}$

$\tt\ \implies 2 {x}^{2} + 17 = 0$

• Subtracting 17 from both sides

$\tt\ \implies 2 {x}^{2} + 17 - 17 = 0 - 17$

$\tt\ \implies 2 {x}^{2} = - 17$

• Dividing 2 on both sides

$\tt\ \implies \frac{2}{2} {x}^{2} = - \frac{17}{2}$

$\tt\ \implies \cancel \frac{2}{2} {x}^{2} = - \frac{17}{2}$

$\tt\ \implies {x}^{2} = - \frac{17}{2}$

• Square root both sides

$\tt\ \implies \sqrt{ {x}^{2}} = \sqrt{ - \frac{17}{2}}$

$\tt\ \implies x = \sqrt{ - \frac{17}{2}}$

• √-1 = i(where i is iota, it is used to represent complex numbers)

$\tt\ \implies x = \sqrt{ - 1} \times \sqrt{ \frac{17}{2}}$

$\tt\ \implies x = i \times \sqrt{ \frac{17}{2}}$

$\tt\ \implies x = \sqrt{ \frac{17}{2}}i$

$\boxed{ \underline{\red{ \rm \: x = \sqrt{ \frac{17}{2}}i }} }$