Question

What is the positive solution to this equation?
4x to the power of 2 + 12x = 135

Answer 1

Answer:

this equation has no positive solution

Answer 2

SOLUTION

TO DETERMINE

The positive solution to the equation

$\displaystyle \sf{4 {x}^{2} + 12x = 135 }$

EVALUATION

Here the given equation is

$\displaystyle \sf{4 {x}^{2} + 12x = 135 }$

We now solve it as below

$\displaystyle \sf{4 {x}^{2} + 12x = 135 }$

$\displaystyle \sf{ \implies \: 4 {x}^{2} + 12x - 135 = 0 }$

$\displaystyle \sf{ \implies \: 4 {x}^{2} + (30 - 18)x - 135 = 0 }$

$\displaystyle \sf{ \implies \: 4 {x}^{2} + 30 x- 18x - 135 = 0 }$

$\displaystyle \sf{ \implies \:2x(2x + 15) - 9(2x + 15)= 0 }$

$\displaystyle \sf{ \implies \:(2x + 15) (2x - 9)= 0 }$

Now

$\displaystyle \sf{ \:(2x + 15) = 0 \: \: gives \: \: x = - \frac{15}{2} }$

$\displaystyle \sf{ \:(2x - 9) = 0 \: \: gives \: \: x = \frac{9}{2} }$

Hence the required positive solution is

$\boxed { \: \: \displaystyle \sf{ x = \frac{9}{2} } \: \: }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Solve the given system of equations.

2x + 8y = 5 24x - 4y = -15

https://brainly.in/question/33685046

2. 2x+3y=12 and 4x+5y=22

https://brainly.in/question/18427922