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What is the discriminant for the equation 2x^(2)-3x+10=0 ? How many roots does it have? What type of roots does it have?

User Alagu
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Final answer:

The discriminant for the equation 2x² - 3x + 10 = 0 is -71. The equation has two complex roots.

Step-by-step explanation:

The discriminant for the equation 2x² - 3x + 10 = 0 is calculated using the formula:

discriminant = b² - 4ac

Plug in the values from the equation:
a = 2, b = -3, c = 10
discriminant = (-3)² - 4(2)(10)
discriminant = 9 - 80
discriminant = -71

The discriminant is -71. Since the discriminant is negative, the equation has two complex roots that are conjugate pairs, which means they cannot be expressed as real numbers.

User Mynameisdaniil
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