The solutions would be
x= (-9/8)+(1/8)√33
and
x=(-9/8)+(-1/8)√33
Answer:
Step-by-step explanation:
We are given the equation:
And we want to solve using the quadratic formula.
First, isolate the equation:
Recall that for equations in the form <em>ax</em>² + <em>bx</em> + <em>c</em> = 0, the solutions are given by:
In this case, <em>a</em> = 2, <em>b</em> = 4, and <em>c</em> = -15.
Substitute and evaluate:
In conclusion, our two solutions are:
Answer:
x=8, 5 is incorrect.
Step-by-step explanation:
2x8=16+13=29
4x8=32-3=29
let
x----------> number of square jam sandwiches of Ken in the
side x of rectangle
y---------> number of square jam sandwiches of Ken in
the side y of rectangle
A1-------------> total number of square jam sandwiches of
Ken
A2-------------> total number of square jam sandwiches of Sara
we know that
A1=xy
A2=[(x+2)(y+2)-xy]
A1=A2
xy=[(x+2)(y+2)]-xy------------
> xy=xy+2x+2y+4-xy
xy-2y=2x+4-------- > y=[2x+4]/[x-2]
testing different values of x to get a pair of whole numbers-->
see the table attached I find 2 solutions
<span>1) x=3 and y=10
</span>A1=3*10=30
A2=30<span>
total number of sandwiches of Ken------ > 30
</span>total number of sandwiches of Sara------ > 30
<span>
2) <span>x=4 and y=6
</span></span>A1=4*6=24
A2=24<span>
total number of sandwiches of Ken------ > 24
</span><span>total number of sandwiches of Sara------ >24</span>