Question

can someone please help me with the answer to this quadratic formula 3x ² - 5x - 12 = 0 step by step ?

Answer 1

x = -4/3 or 3

Explanation:

You want the solution to 3x² -5x -12 = 0 using the quadratic formula.

Standard form

The given equation is written in standard form:

ax² +bx +c = 0

Comparing the equations, we see that ...

• a = 3
• b = -5
• c = -12

Quadratic formula

The formula for the solution of the equation is ...

`x=(-b\pm√(b^2-4ac))/(2a)`

To find the values of x, use the numerical values of a, b, c in this formula:

`x=(-(-5)\pm√((-5)^2-4(3)(-12)))/(2(3))=(5\pm√(25+144))/(6)\\\\x=(5\pm√(169))/(6)=(5\pm13)/(6)=\left\{(-8)/(6),\ (18)/(6)\right\}\\\\\boxed{x=\left\{-(4)/(3),\ 3\right\}}`