solve the equation by completing square :-√3X²+10X+7√3=0
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solve the equation by completing square :-√3X²+10X+7√3=0
Answer:--
√3 x²+10x+7√3=0
=>√3x²+10x= -7√3
=>x²+10/√3 x = -7√3/√3
=>x²+10/√3 x= -7
=>x²+2×5/√3 x = -7
25/ 3 adding both side
=>x²+2×5/√3 x + 25/3= -7 +25/3
=>(x+5/√3)² = (-21+25)/3
=>(x+5/√3 )²= 4/3
=>(x+5/√3)= ±2/√3
=>x= ±[2/√3 - 5/√3]
=>x= ±[2-5]/√3
=>x= ±(-3/√3)
=>x= ±(-√3)
take +ve and -ve sign .
and find answer
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