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