Solve x² + 4 = 0
Quadratic equation, worked out line by line the way a teacher would write it.
Answer
| Solution | no real solution |
Step-by-step solution
5 steps-
1 Givenx^{2} + 4 = 0
Solve for x.
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2 This is a quadratic in standard form ax² + bx + c = 0
Every quadratic equation can be arranged as ax² + bx + c = 0. Reading off a = 1, b = 0 and c = 4, signs included, shows which method fits: factoring, taking a square root or the quadratic formula.
a = 1,\quad b = 0,\quad c = 4 -
3 There is no x term, so isolate x²x^{2} = -4
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4 A square is never negative
No real solutions.
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5 Complex solutionsx = 2 i\quad \text{or} \quad x = - 2 i
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