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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)

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which-example-1
User Manishie
by
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1 Answer

5 votes

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)

User Tonysdg
by
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