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X^2-3√5x+10 = 0

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X^2-3√5x+10 = 0

Posted by Kavita Bidla 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 4 months ago

x²-3√5x+10=0

Splitting the middle term, we get

=> x²-2√5x-√5x+10=0

=> x²-2√5x-√5x+2×5=0

=> x²-2√5x+√5x +2×√5×√5=0

=> x(x-2√5)-√5(x-2√5)=0

=> (x-2√5)(x-√5)=0

=> x-2√5 =0 Or x-√5 = 0

=> x = 2√5 Or x = √5

Therefore,

Roots of given Quadratic equation are:

2√5 Or √5

0Thank You

? Pranali.A.P ? 5 years, 4 months ago

x²-3√5x+10=0......... Splitting the middle term, we get...... => x²-2√5x-√5x+10=0........ => x²-2√5x-√5x+2×5=0......... => x²-2√5x+√5x +2×√5×√5=0........ => x(x-2√5)-√5(x-2√5)=0........ => (x-2√5)(x-√5)=0........ => x-2√5 =0 Or x-√5 = 0....... => x = 2√5 Or x = √5........ Therefore,........ Roots of given Quadratic equation are.......: 2√5 Or √5...... •••••

0Thank You

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CBSE > Class 10 > Mathematics