The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / 2a

For the equation 2x² - 8x - 10 = 0, the coefficients are a = 2, b = -8, and c = -10.

Step 1: Calculate the discriminant (b² - 4ac)

Discriminant = (-8)² - 4*2*(-10) = 64 + 80 = 144

Step 2: Substitute a, b, and the discriminant into the quadratic formula

x = [8 ± sqrt(144)] / 4 = [8 ± 12] / 4

So the solutions are x = 20/4 = 5 and x = -4/4 = -1.

Therefore, the solutions from least to greatest are -1 and 5.

Question

The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / 2a

For the equation 2x² - 8x - 10 = 0, the coefficients are a = 2, b = -8, and c = -10.

Step 1: Calculate the discriminant (b² - 4ac)

Discriminant = (-8)² - 4*2*(-10) = 64 + 80 = 144

Step 2: Substitute a, b, and the discriminant into the quadratic formula

x = [8 ± sqrt(144)] / 4 = [8 ± 12] / 4

So the solutions are x = 20/4 = 5 and x = -4/4 = -1.

Therefore, the solutions from least to greatest are -1 and 5.

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