Hello, please consider the following.
When and are two roots, we can factorise as
So for the first equation, we can say that the sum of the zeros is
and the product is
So we can factorise as below.
And the solutions are
For the second equation, we will complete the square and put the constant on the right side and take the root.
Let's do it!
We take the root, and we find the two solutions
Thank you.
<u>ANSWER:
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Colby hit 8 home runs.
<u>SOLUTION:
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It is given to us that Colby hit four more home runs that twice the number of home runs Dominic hit and together they hit ten home runs.
Let us denote the runs hit by Colby as ‘c’ and that hit by Dominic as ‘d’.
According to the given statement
d + c = 10 --eq1
and we also know that Colby hit four more home runs that twice the number of home runs Dominic hit. So we can write it in an equation as follows:
c = 2d + 4 -- eq2
Now from the eq1and eq2 we can solve to find out how many runs Colby hit Let's rewrite equation one as follows:
d = 10 - c -- eq3
Now substituting eq3 in eq2 we get the following:
c = 2(10 - c) + 4
We can rewrite the equation as:
c = 20 - 2c + 4
3c = 24
c = 8
Therefore Colby hit 8 home runs.
1 solution because it is parallel