6x 2 −48x−1374=0

The equation you provided is a quadratic equation. To solve it, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / 2a. In your equation, a = 6, b = -48, and c = -1374.

Step 1: Identify a, b, and c in the equation In the equation 6x^2 - 48x - 1374 = 0, a = 6, b = -48, and c = -1374.

Step 2: Substitute the values of a, b, and c into the quadratic formula x = [-(-48) ± sqrt((-48)^2 - 46(-1374))] / 2*6 x = [48 ± sqrt((2304) - (-32844))] / 12 x = [48 ± sqrt(35148)] / 12

Step 3: Simplify the equation x = [48 ± 187.476] / 12 So, the solutions are: x = (48 + 187.476) / 12 = 19.623 x = (48 - 187.476) / 12 = -11.623

So, the solutions to the equation 6x^2 - 48x - 1374 = 0 are x = 19.623 and x = -11.623.

The equation you provided is a quadratic equation. To solve it, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / 2a. In your equation, a = 6, b = -48, and c = -1374.

Step 1: Identify a, b, and c in the equation. In the equation 6x^2 - 48x - 1374 = 0, a = 6, b = -48, and c = -1374.

Step 2: Substitute the values of a, b, and c into the quadratic formula. x = [-(-48) ± sqrt((-48)^2 - 46(-1374))] / 2*6 x = [48 ± sqrt((2304) - (-32844))] / 12 x = [48 ± sqrt(35148)] / 12

Step 3: Simplify the equation. x = [48 ± 187.476] / 12 So, the solutions are: x = (48 + 187.476) / 12 = 19.623 x = (48 - 187.476) / 12 = -11.623

So, the solutions to the equation 6x^2 - 48x - 1374 = 0 are x = 19.623 and x = -11.623.