Verified Answer :

etessa

5x^2 - 4x = 6

5x^2 - 4x - 6 = 0 

Use the quadratic equation (I attached a photo of it)
Now, you can use this formula to know what to plug into the formula:
ax^2 + bx + c = 0

The easiest way to understand what to plug in is just to put your equation right next to this one:
ax^2 + bx + c = 0
5x^2 - 4x - 6 = 0 
So, 
A= 5
B= -4
C= -6

So, plug it in a solve. Remember you cannot take the square root of a negative number or 0. If it does not come to a number that is easily square rooted you must simplify it to this for example: 5 times the square root of 7.  Also, your answer will be x plus or minus a number. This means that the number could be either negative or positive. If you have anymore questions let me know.

View image etessa

Answer:

\(x=\frac{2+\sqrt{34}}{5}\) and \(x=\frac{2-\sqrt{34}}{5}\)

Step-by-step explanation:

\(5x^2-4x=6\)

To solve for x , we need to get 0 on the right side

Subtract 6 on both sides

\(5x^2-4x-6=0\)

Factor the left hand side

To solve for x , we apply quadratic formula

\(x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\)

The value of a=5, b=-4, c= -6

\(x=\frac{4+-\sqrt{(-4)^2-4(5)(-6)}}{2(5)}\)

\(x=\frac{4+-\sqrt{136}}{10}\)

\(x=\frac{4+-2\sqrt{34}}{10}\)

Divide top and bottom by 2

\(x=\frac{2+-\sqrt{34}}{5}\)

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