Question

6a²= 486 then the value of a is​

Answer 1

Answer:

a=9

Step-by-step explanation:

6a^2=486

a^2=486/6

a^2=81

a=9

Answer 2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(2•3a2) - 486

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

6a2 - 486 = 6 • (a2 - 81)

Trying to factor as a Difference of Squares:

3.2 Factoring: a2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : a2 is the square of a1

Factorization is : (a + 9) • (a - 9)

Final result :

6 • (a + 9) • (a - 9)