Factorize -5 x 2-8 x -3 -5-0 into the form -5 x 2- px - qx -3 -5-0- What is the value of p 2- q 2 -A- 9B- 25C- 34D- 16

The correct option is C 34 Multiply √(5) with 3√(5) and we get 15 Pairs of 15 are 1*15 = 15 sum 1+ 15 = 16 5*3= 15 sum 5+ 3 = 8 So our required pa ...

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Standard XII

Mathematics

Definition of Sets

Factorize √5 ...

Question

Factorize $\sqrt{5} x^{2} + 8 x + 3 \sqrt{5} = 0$ into the form $\sqrt{5} x^{2} + p x + q x + 3 \sqrt{5} = 0$ . What is the value of $p^{2} + q^{2}$ ?

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Solution

The correct option is D
34

Multiply $\sqrt{5} w i t h 3 \sqrt{5}$ and we get 15

Pairs of 15 are
115 = 15 sum 1+ 15 = 16
53= 15 sum 5+ 3 = 8
So our required pair is 5 and 3.
So, $p^{2} + q^{2} = 34$

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Factorize √5x2+8x+3√5=0 into the form √5x2+px+qx+3√5=0. What is the value of p2+q2 ?

The correct option is D 34 Multiply √5 with 3√5 and we get 15 Pairs of 15 are 1*15 = 15 sum 1+ 15 = 16 5*3= 15 sum 5+ 3 = 8 So our required pair is 5 and 3. So, p2+q2=34

Factorize $\sqrt{5} x^{2} + 8 x + 3 \sqrt{5} = 0$ into the form $\sqrt{5} x^{2} + p x + q x + 3 \sqrt{5} = 0$ . What is the value of $p^{2} + q^{2}$ ?

The correct option is D
34

Multiply $\sqrt{5} w i t h 3 \sqrt{5}$ and we get 15

Pairs of 15 are
115 = 15 sum 1+ 15 = 16
53= 15 sum 5+ 3 = 8
So our required pair is 5 and 3.
So, $p^{2} + q^{2} = 34$