solve the quadratic equation√3x²+ 4x-7√3=0 by factorisation method
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Answer :
›»› The roots of given quadratic equation are -7√3/3 and √3.
Step-by-step explanation :
Given :
- Quadratic equation = √3x² + 4x - 7√3 = 0.
To Find :
- The roots of the given quadratic equation.
Solution :
→ √3x² + 4x - 7√3 = 0
→ √3x² - 3x + 7x - 7√3 = 0
→ √3x(x - √3) + 7(x - √3) = 0
→ (√3x + 7) (x - √3) = 0
→ √3x + 7 = 0 or x - √3 = 0
→ √3x = -7 or x - √3 = 0
→ x = -7/√3 or x - √3 = 0
→ x = (-7√3)/3 or x - √3 = 0
→ x = (-7√3)/3 or x = √3
Hence, the roots of given quadratic equation are -7√3/3 and √3.
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