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प्रश्न
Solve `3x^2+5sqrt5x-10=0`
उत्तर
`3x^2+5sqrt5x-10=0`
⇒ `3x^2+6sqrt5x-sqrt5x-10=0`
⇒`3x(x+2sqrt5)-sqrt5(x+2sqrt5)=0`
⇒`(x+2sqrt5) (3x-sqrt5)=0`
⇒`x+2sqrt5=0 or 3x-sqrt5=0`
⇒`x=-2sqrt5 or x=sqrt5/3`
Hence, `-2sqrt5 and sqrt5/3` are the roots of the given equation.
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