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Cancel out the denominators.
(x+5)² + 18 = -30
(x+5)² = -30 - 18
(x+5)² = -48
The equation is impossible, we have a negative number.
There isn't a number that squared gives a negative number (the square is always positive).
√(x+5)² = +/- √-48
x+5 = +/- √-48
IMPOSSIBLE
You can write the result in imaginary numbers
x+5=+/- 4i√3
We have that
<span>the equation
y=-3x</span>²<span> + x -4
the </span><span>real number solutions are the points x intercept of the graph
are the points when y=0
using a graph tool
see the attached figure
</span><span>the graph has no point of intersection with the x axis
</span>therefore
the answer is
there are zero real numbers solutions
<span>the equation
y=-3x</span>²<span> + x -4
the </span><span>real number solutions are the points x intercept of the graph
are the points when y=0
using a graph tool
see the attached figure
</span><span>the graph has no point of intersection with the x axis
</span>therefore
the answer is
there are zero real numbers solutions