Solve the quadratic equation 10x2−2x+13=3 . Which of the following expresses its solutions in the form a±bi ?
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First move 3 to the left: 10x^2 − 2x + 10 = 0, divide by 2: 5x^2 − x + 5 = 0.
Use the quadratic formula: x = [1 ± sqrt(1 − 100)]/(10) = [1 ± sqrt(−99)]/10 = [1 ± 3i√11]/10.
So the solutions are x = 1/10 ± (3√11/10) i.
Use the quadratic formula: x = [1 ± sqrt(1 − 100)]/(10) = [1 ± sqrt(−99)]/10 = [1 ± 3i√11]/10.
So the solutions are x = 1/10 ± (3√11/10) i.
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