Use the quadratic formula to solve. Express your answer in simplest form. 12v^(2)+13 v+1=6v Answer: v=

Question

Use the quadratic formula to solve. Express your answer in simplest form.  12v^(2)+13 v+1=6v Answer:  v=

Bytelearn · Accepted Answer

Set Equation Equal: First, we need to bring all terms to one side of the equation to set it equal to zero. 12v^2 + 13v + 1 - 6v = 0 This simplifies to: 12v^2 + 7v + 1 = 0Use Quadratic Formula: Now we will use the quadratic formula to solve for v, which is given by: v = (-b ± √(b^2 - 4ac)) / (2a) For our equation, a = 12, b = 7, and c = 1.Calculate Discriminant: Next, we calculate the discriminant, which is the part under the square root in the quadratic formula: Discriminant = b^2 - 4ac Discriminant = (7)^2 - 4(12)(1) Discriminant = 49 - 48 Discriminant = 1Apply Quadratic Formula: Since the discriminant is positive, we will have two real and distinct solutions. We can now plug the values of a, b, and c into the quadratic formula: v = (-7 ± √1) / (2 * 12) v = (-7 ± 1) / 24Solve for Solutions: We will now solve for the two possible values of v: First solution: v = (-7 + 1) / 24 v = -6 / 24 v = -1/4  Second solution: v = (-7 - 1) / 24 v = -8 / 24 v = -1/3

Use the quadratic formula to solve. Express your answer in simplest form. $\newline$ $12 v^{2}+13 v+1=6 v$ $\newline$ Answer: $v=$

Full solution

More problems from Find derivatives of using multiple formulae

Related topics

Use the quadratic formula to solve. Express your answer in simplest form.\newline12v2+13v+1=6v 12 v^{2}+13 v+1=6 v 12v2+13v+1=6v\newlineAnswer: v= v= v=

Use the quadratic formula to solve. Express your answer in simplest form. $\newline$ $12 v^{2}+13 v+1=6 v$ $\newline$ Answer: $v=$