solve 4x²-17x+4 by completing the square method.
Answers
Answer:
(x-4)(4x-1)
Just multiply it out to check if the answer is right
I also got an 100 on this test
Answer:
Factoring 4x2-17x+4
The first term is, 4x2 its coefficient is 4 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -17 .
-16 + -1 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and -1
4x2 - 16x - 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-4)
Add up the last 2 terms, pulling out common factors :
Step-5 : Add up the four terms of step 4 :
(4x-1) • (x-4)
Which is the desired factorization
x - 4) • (4x - 1) = 0
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.
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Solve : 4x-1 = 0
Add 1 to both sides of the equation :
4x = 1
Divide both sides of the equation by 4:
x = 1/4 = 0.250
Step-by-step explanation:
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