Solve using the quadratic formula. 7t^2 + 2t − 2 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. t = _____ or t = _____

Question

Solve using the quadratic formula.  7t^2 + 2t − 2 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.  t = _____ or t = _____

Bytelearn · Accepted Answer

Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation 7t^2 + 2t − 2 = 0. a = 7, b = 2, c = -2Write quadratic formula: Write down the quadratic formula: t = (-b ± √(b^2 - 4ac)) / (2a).Substitute values: Substitute the values of a, b, and c into the quadratic formula. t = (-(2) ± √((2)^2 - 4(7)(-2))) / (2(7))Calculate discriminant: Calculate the discriminant (b^2 - 4ac). Discriminant = (2)^2 - 4(7)(-2) = 4 + 56 = 60Calculate square root: Calculate the square root of the discriminant. √60 ≈ 7.746Substitute back: Substitute the square root of the discriminant back into the quadratic formula. t = (-(2) ± 7.746) / 14Calculate solutions: Calculate the two possible solutions for t. t = (-2 + 7.746) / 14 or t = (-2 - 7.746) / 14 t = 5.746 / 14 or t = -9.746 / 14Simplify and round: Simplify the solutions and, if necessary, round to the nearest hundredth. t ≈ 0.41 or t ≈ -0.70

Solve using the quadratic formula. $\newline$ $7t^2 + 2t - 2 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $t =$ _ or $t =$ _

Full solution

More problems from Solve a quadratic equation using the quadratic formula

Related topics

Solve using the quadratic formula.\newline7t2+2t−2=07t^2 + 2t - 2 = 07t2+2t−2=0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinet=t = t=_____ or t=t = t=_____

Solve using the quadratic formula. $\newline$ $7t^2 + 2t - 2 = 0$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $\newline$ $t =$ _ or $t =$ _