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
The answer is 54x because 36+18=54, but then you have the x, so your answer is 54x
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
y =-3x + x + 9
Find y when x = 2
Substitute the value of x= 2 into the equation
y = -3(2) + 2 + 9
y = - 6 + 2 + 9
y = -4 + 9
y = 5
The answer is 5
The sum of the left side of these two equations is equal to the same of the right side is these two equations
4x+8y + (-4x+2y) = 20 + 30
10y =50 ( x is eliminated)
y=5
Take this into the second equation
-4x +2y = 30
-4x + 2*5 = 30
x=-5
So x=-5
y=5
