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Nathalie Sherman
Mathematics
17 August, 17:57
Solve for x in the equation X^2 - 8X + 41 = 0
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Demarion Bartlett
17 August, 18:14
0
The equation has two solutions for x:
x₁ = (8 + 10i) / 2
x₂ = (8 - 10i) / 2
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41 = 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = - b + / - (√b² - 4ac) / 2a
Replacing with the real values, we have:
x = 8 + / - (√-8² - 4 * 1 * 41) / 2 * 1
x = 8 + / - (√64 - 164) / 2
x = 8 + / - (√-100) / 2
x = 8 + / - (√-1 * 100) / 2
Let's recall that √-1 = i
x = 8 + / - 10i/2
x₁ = (8 + 10i) / 2
x₂ = (8 - 10i) / 2
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