-5x+10x+3=5x+6 how many solutions does this equation have?
2 answers:
Answer:
No solution
Step-by-step explanation:
Both of these equations simplify to the same slope. If two equations have the same slope that means they are parallel. Parallel lines never intersect so there will be no solution.
Lets simplify both equations:
1. (combine like terms, -5x and 10x)
(this is the simplest form)
2. (This is the simplest form it can get)
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Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
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