10x^2-3x-1=0 solve using completing square method
Answers
Answer:
STEP1:Equation at the end of step 1
((2•5x2) - 3x) - 1 = 0
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 10x2-3x-1
The first term is, 10x2 its coefficient is 10 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 10 • -1 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -3 .
-10 + 1 = -9 -5 + 2 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 2
10x2 - 5x + 2x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
5x • (2x-1)
Add up the last 2 terms, pulling out common factors :
1 • (2x-1)
Step-5 : Add up the four terms of step 4 :
(5x+1) • (2x-1)
Which is the desired factorization
Equation at the end of step2:
(2x - 1) • (5x + 1) = 0
STEP3:Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
HERE'S YOUR ANSWER
DON'T FORGET TO MARK IT AS BRAINLIEST!!
