Question

Plz help me Maths....

Answer 1

Answer:

$x = 7$

Step-by-step explanation:

$\frac{4 {x}^{2} + 8x + 3 }{6 {x}^{2} + 18 + 5 } = \frac{2x + 4}{3x + 9} \\ cross \: multiply \\ (3x + 9)(4 {x}^{2} + 8x + 3) = (2x + 4)(6 {x}^{2} + 18x + 5) \\ 3x(4 {x}^{2} + 8x + 3) + 9(4 {x}^{2} + 8x + 3) = 2x(6 {x}^{2} + 18x + 5) + 4(6 {x}^{2} + 18x + 5) \\ 12 {x}^{3} + 24 {x}^{2} + 9x + 36 {x}^{2} + 72x + 27 = 12 {x}^{3} + 36 {x}^{2} + 10x + 24 {x}^{2} + 72x + 20 \\ 12 {x}^{3} - 12 {x}^{3} + 24 {x}^{2} - 24 {x}^{2} + 36 {x}^{2} - 36 {x}^{2} + 9x - 10x+ 72x - 72x + 27 - 20 = 0 \\ ( - x) + 7 = 0 \\ ( - x) = ( - 7) \\ x = 7$