To find the roots of the quadratic equation 5x² + 13x + 6 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b² - 4ac)] / (2a).

Here, a = 5, b = 13, and c = 6.

Step 1: Calculate the value under the square root, b² - 4ac = (13)² - 4*5*6 = 169 - 120 = 49.

Step 2: Calculate the square root of 49, which is 7.

Step 3: Substitute the values into the quadratic formula to get the roots.

x = [-13 ± 7] / (2*5)

So, the roots of the equation are x = [-13 + 7] / 10 = -0.6 and x = [-13 - 7] / 10 = -2.

Question

To find the roots of the quadratic equation 5x² + 13x + 6 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b² - 4ac)] / (2a).

Here, a = 5, b = 13, and c = 6.

Step 1: Calculate the value under the square root, b² - 4ac = (13)² - 4*5*6 = 169 - 120 = 49.

Step 2: Calculate the square root of 49, which is 7.

Step 3: Substitute the values into the quadratic formula to get the roots.

x = [-13 ± 7] / (2*5)

So, the roots of the equation are x = [-13 + 7] / 10 = -0.6 and x = [-13 - 7] / 10 = -2.

Knowee AI · Accepted Answer

To find the roots of the quadratic equation 5x² + 13x + 6 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b² - 4ac)] / (2a).

Here, a = 5, b = 13, and c = 6.

Step 1: Calculate the value under the square root, b² - 4ac = (13)² - 4*5*6 = 169 - 120 = 49.

Step 2: Calculate the square root of 49, which is 7.

Step 3: Substitute the values into the quadratic formula to get the roots.

x = [-13 ± 7] / (2*5)

So, the roots of the equation are x = [-13 + 7] / 10 = -0.6 and x = [-13 - 7] / 10 = -2.

Find the roots of the quadratic equation 5x2 + 13x + 6 = 0.