Question

5 root 5 x square + 30 X + 8 root 5 find the zeros

Answer 1

Answer:

Step-by-ste5√5x² + 30x + 8√5

splitting the middle term

= 5√5x² + 20x + 10x + 8√5

= 5√5x² + 4 × 5x + (2√5 ) × √5 x + 2√5 × 4

= 5x ( √5x + 4 ) + ( 2√5 ) [ √5x + 4 ]

= ( √5x + 4 ) ( 5x + 2√5 )

hope this helps!!!

Answer 2

Answer:

x = - 4√5/5

x = - 2√5/5

Step-by-step explanation:

5√5 x² + 30 x + 8√5 = 0

What is a zero ?

Let f ( x ) be a function . Then the value of x for which the value of f ( x ) is equal to zero is known as the zero of the function.

We can see that the equation is of degree 2 . This kind of equation is called the quadratic equation .

This can be said because the highest power is 2 .

Given that :

5√5 x² + 30 x + 8√5 = 0

Split 30 x into 20 x and 10 x

⇒ 5√5 x² + 20 x + 10 x + 8√5 = 0

⇒ √5 x ( 5 x + 4√5 ) + 2 ( 5 x + 4√5 ) = 0

⇒ ( √5 x + 2 )( 5 x + 4√5 ) = 0

Either :

√5 x + 2 = 0

⇒ √5 x = - 2

⇒ x = - 2/√5

⇒ x = - 2√5/5

Or :

5 x + 4√5 = 0

⇒ 5 x = - 4√5

⇒ x = - 4√5/5