Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
Step-by-step explanation:
Let's simplify step-by-step.<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span>y</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span><span>=<span><span><span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>+</span>−<span><span>2<span>x2</span></span>y</span></span>+</span>−<span><span>12<span>x2</span></span><span>y4</span></span></span></span>Answer:<span>=<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span><span>y</span></span></span></span>
Rectangle A=bh=4 x 3
Triangle A=1/2bh=1/2 x4 x3
The area of the figure
12+6=18
