Vanessa tried to solve an equation step by step. \qquad\begin{aligned} -12&=4(f-6) \\ -12&=4f-24&\green{\text{Ste p } 1} \\ 12&=4f&\blue{\text{Step } 2} \\ 4&=f&\purple{\text{Step } 3} \end{aligned} −12 −12 12 4 =4(f−6) =4f−24 =4f =f Step 1 Step 2 Step 3 Find Vanessa's mistake.

f=4 instead of f=3

Step-by-step explanation:

You will notice that at Step 2

12=4f

To solve for f, we are required to divide both sides by 4

The result of 12 divided by 4 is 3.

Therefore f=3.

However, Vanessa wrote 4 in her result. This was her mistake.

exactly you go it

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629