Question

2t two squared - 14t + 3 = 3 Solve for t ( Disclaimer I had to type out 2t to the second power because on keyboard you don’t have that symbol, hope that makes sense! Thanks!

Answer 1

To solve the equation, rearrange it to get 0 on one side. Then, use the quadratic formula to find the solutions for t. In this case, the solutions are t = 3.5 and t = 0.

Step-by-step explanation:

To solve the equation 2t2 - 14t + 3 = 3 for t, we need to rearrange it to get 0 on one side of the equation: 2t2 - 14t + 3 - 3 = 0.

This simplifies to 2t2 - 14t = 0.

Now, we can use the quadratic formula to find the solutions for t. The quadratic formula is: t = (-b ± √(b2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 2, b = -14, and c = 0.

Substituting these values into the quadratic formula, we get t = (-(-14) ± √((-14)2 - 4(2)(0))) / (2(2)).

Simplifying further, t = (14 ± √(196)) / 4.

Taking the square root of 196, we get t = (14 ± 14) / 4.

This results in two solutions: t = 14/4 = 3.5 and t = 0/4 = 0.