find roots of 4x^2+3x+5 by completing square method.
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Answer:
- It has no real roots.
Step-by-step explanation:
Given
- 4x² + 3x + 5 = 0
To find
- Roots by competing square method
Solution
- 4x² + 3x + 5 = 0
- x² + 3/4x + 5/4 = 0
- x² + 3/4x = -5/4
- x² + 3/4x + (3/8)² = -5/4 + (3/8)²
- (x + 3/8)² = -5/4 + 9/64
- (x + 3/8)² = -71/64 < 0
Since, (x + 3/8)² cannot be negative for any real value of x, so there is no real value of x satisfying the given equation. Hence, the equation has no real roots.
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