Question

Solve for x:
2x^2 + 5x - 12 = 0

Answer 1

Answer:

First calculate for sum and product....

Sum would be 5 and product will be -24

Step-by-step explanation:

Now find factors such that sum is 5 and product is-24

So 8,-3(8-3=5&8*-3=-24)

Therefore form the equation....

2x^2+8x-3x-12=0

2x(x+4)-3(x+4)=0

Therefore,(x+4)=0 (2x-3)=0

x=-4 x=3/2 are the factors of the quadratic equation.

Answer 2

$\huge \bold\color{red}{\boxed{\boxed{☆Answer}}}$

$\bold\color{brown} = > 2x² + 5x - 12 = 0$

$\bold\color{blue} = > 2x² + 8x - 3x - 12 = 0$

$\bold\color{blue} = > 2x(x + 4) - 3( x + 4) = 0$

$\bold\color{blue} = > (2x - 3)(x + 4) = 0$

Value of x :-

$= > 2x - 3 = 0 \\ \bold\color{green}{\boxed{ = > x = \frac{3}{2} }}$

$= > x + 4 = 0 \\ \bold\color{green}{\boxed{x = - 4}}$

Therefore,

• The value of the x is 3/2 & - 4.

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I hope it will help you ....