What is square root of 5x^4-6x^5+x^6+16x^3-8x^2-8x+4 ? help me pleasee !
1 answer:
Answer:
y = (x + 1)(x - 0.586) ( x - 3.414)
Step-by-step explanation:
I sure wouldn't recommend doing this by trial and error.
I made a graph of which you can see. Every time this monster touches the x axis and speeds away upward is two equal roots of y. So the square root would be one of each of them.
y = (x + 1)^2 (x - 0.586)^2 (x - 3.414)^2
are the listed roots.
The square root is
y = (x + 1)(x - 0.586) ( x - 3.414)
Do I know that this is right? I don't. But I can tell you this: if you multiply 1^2 * (-0.586)^2 * (- 3.414)^2
you get 4 just as you should. Amazing that we have tools that do that sort of thing.
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Answer:
x = 2 , y = 0 , z = 3
Step-by-step explanation:
Cramer's rule is a rule through which we can find the solution of linear equation.
we have the three linear equations as
x+2y+3z=11
2x+y+2z=10
3x+2y+z=9
AX=B
A: coefficient matrix
X= unknown vectors(x,y,z)
D = values of the linear equation (11 , 10 , 9)
now we find the determinant of the given linear equation
determinant of the matrix will be
A = = 1(1-4) - 2(2-6) + 3(4 - 3)
= 1(-3) - 2(-4) + 3(1)
= -3+8+3 = 8
also D
so the determinant is Non zero we can apply Cramer's rule
we will be replacing the first column of the coefficient matrix A with the values of D
by replacing the first column we will get the value of the variable 'x'
Dx = = 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16
x = =
= 2
similarly
Dy = = 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0
y = = 0
Dz= = 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24
z = =
so we have the solution as
x = 2 , y = 0 , z = 3
Therefore the solution for the given linear equations is (2,0,3).