Question

2a2 - 3a + 2 = 0 is a Algebra the amount
equal of (a + 1/a)

Answer 1

Step-by-step explanation:

The first term is, 2a2 its coefficient is 2 .

The middle term is, -3a its coefficient is -3 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1

2a2 - 4a + 1a - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

2a • (a-2)

Add up the last 2 terms, pulling out common factors :

1 • (a-2)

Step-5 : Add up the four terms of step 4 :

(2a+1) • (a-2)

Which is the desired factorization

Answer 2

Answer:

Simplifying

2a2 + 3a + -2 = 0

Reorder the terms:

-2 + 3a + 2a2 = 0

Solving

-2 + 3a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.

(-2 + -1a)(1 + -2a) = 0

Subproblem 1

Set the factor '(-2 + -1a)' equal to zero and attempt to solve:

Simplifying

-2 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0

0 + -1a = 0 + 2

-1a = 0 + 2

Combine like terms: 0 + 2 = 2

-1a = 2

Divide each side by '-1'.

a = -2

Simplifying

a = -2

(a + 1/a) = -2 + 1/-2

=>( 4 + 1)/-2

= 5/-2