Factorize -5 x 2-8 x -3 -5-0 into the form -5 x 2- px - qx -3 -5-0-Find the value of p and q-

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 √(5) x^ ...

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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

Factorize √5 ...

Question

Factorize $\sqrt{5}$ $x^{2}$ + 8x + 3 $\sqrt{5}$ = 0 into the form $\sqrt{5}$ $x^{2}$ + px + qx +3 $\sqrt{5}$ = 0.Find the value of p and q.

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Solution

Multiply $\sqrt{5}$ with 3 $\sqrt{5}$ and we get 15

Pairs of 15 are

1 $\times$ 15 = 15 sum 1+ 15 = 16

5 $\times$ 3= 15 sum 5 + 3 = 8

So our required pair is 5 and 3

$\sqrt{5}$ $x^{2}$ + 8x + 3 $\sqrt{5}$ = 0

$\sqrt{5}$ $x^{2}$ + 5x + 3x +3 $\sqrt{5}$ = 0

So, p = 5 and q = 3.

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Similar questions

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 $p^{2} + q^{2}$ ?

Q. Find the value of

p

for which given quadratic has real roots.

5 x^{2} + 8 x + p = 0

Factorize:

$5 \sqrt{5} x^{2} + 20 x + 3 \sqrt{5}$

Q. Solve the following quadratic equation by factorization method:

\sqrt{5} x^{2} + 2 x - 3 \sqrt{5} = 0

Q. Find the roots of the following quadratic equations by the factorization method.

\frac{2}{5} x^{2} - x - \frac{3}{5} = 0

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Factorize √5 x2 + 8x + 3√5 = 0 into the form √5 x2 + px + qx +3√5 = 0.Find the value of p and q.

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 √5 x2 + 8x + 3√5 = 0 √5 x2 + 5x + 3x +3√5 = 0 So, p = 5 and q = 3.​

Factorize $\sqrt{5}$ $x^{2}$ + 8x + 3 $\sqrt{5}$ = 0 into the form $\sqrt{5}$ $x^{2}$ + px + qx +3 $\sqrt{5}$ = 0.Find the value of p and q.

Multiply $\sqrt{5}$ with 3 $\sqrt{5}$ and we get 15

Pairs of 15 are

1 $\times$ 15 = 15 sum 1+ 15 = 16

5 $\times$ 3= 15 sum 5 + 3 = 8

So our required pair is 5 and 3

$\sqrt{5}$ $x^{2}$ + 8x + 3 $\sqrt{5}$ = 0

$\sqrt{5}$ $x^{2}$ + 5x + 3x +3 $\sqrt{5}$ = 0

So, p = 5 and q = 3.