find the root of the following quadratic equation by factorisation root 3 X square + 8 x + 5 root 3 is equal to zero
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Answer:
Roots of the given Quadratic Equation is -5/√3 and √3
Step-by-step explanation:
√3x² + 8x + 5√3 = 0 is the given Quadratic Equation.
⇒√3x² + 3x + 5x + 5√3 = 0 (Sum of the roots should be equal to 'b' and product of the zeroes should be equal to 'a*c'.)
⇒√3x ( x + √3) + 5 ( x + √3) = 0 (Taking √3x common from the first two terms.)
⇒( x + √3) ( √3x + 5) = 0
∴x = -3 ∴x = -5/√3
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