Answer:
x = 1+√3 i/2 and x = 1-√3 i/2
Step-by-step explanation:
Given the expression x^2 - x+ 1, we are to factorize the expression as shown;
x^2 - x+ 1,
using the general formula
x = -(-1)±√1²-4(1)/2(1)
x = 1±√1-4/2
x= 1±√-3/2
x = 1±√3 i/2
Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2
Let's solve your equation step-by-step.<span><span><span><span>1/2</span>y</span>−<span>21/4</span></span>=<span><span>−35/</span>4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>12</span>y</span>+<span><span>−21/</span>4</span></span>=<span><span>−35/</span>4</span></span>Step 2: Add 21/4 to both sides.<span><span><span><span><span>1/2</span>y</span>+<span><span>−21/</span>4</span></span>+<span>21/4</span></span>=<span><span><span>−35/</span>4</span>+<span>21/4</span></span></span><span><span><span>1/2</span>y</span>=<span><span>−7/</span>2</span></span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>1/2</span>y</span>)</span></span>=<span>2*<span>(<span><span>−7/</span>2</span>)</span></span></span><span>y=<span>−7</span></span>Answer:<span>y=<span>−<span>7</span></span></span>
I assume you meant to type x for %.
If not, basically back-substitute at the end of the solution.
F(x) = 4x - 3
Let y = F(x)
y = 4x - 3
x = 4y - 3
x - 3 = 4y
(x - 3)/4 = y
Let y = F^(-1)x
F^(-1)x = (x - 3)/4
If you want % in your answer, just replace x for % in your answer.
eq^2: 7x=84 divide 84 by 7 which is 12.
therefore x is equal to 12. Then
1) take that 12 you got in equation 2 and substitute in equation 1 which is:
7x-12y=180
7(12)-12y=180
84 -12y=180
-12y=180-84
-12y=96 ............divide both sides with -12
-y=8 (×-1) both sides
y= -8
therefore 7(12)-12(-8)=180
