Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)

Question

asked May 13, 2021 207k views

1 Answer

Tonysdg · Answer 1 · 2021-05-17T13:42:15+0000

Answer:

$Fx=(5\pm√(25+24) )/(6)$

Explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

$a\\eq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=(-b\pm√(b^2-4ac) )/(2a)$

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

$a=3\\b=-5\\c=-2$

Using the quadratic formula:

$x=(-b\pm√(b^2-4ac) )/(2a)=(-(-5)\pm√((-5)^2-4(3)(-2)) )/(2(3))=(5\pm√(25+24) )/(6)$

Therefore, the answer is:

$Fx=(5\pm√(25+24) )/(6)$