1. 343x³ - 8 = 0
343x³ + 98x² - 98x² + 28x - 28x - 8 = 0
343x³ + 98x² + 28x - 98x² - 28x - 8 = 0
7x(49x²) + 7x(14x) + 7x(4) - 2(49x²) - 2(14x) - 2(4) = 0
7x(49x² + 14x + 4) - 2(49x² + 14x + 4) = 0
(7x - 2)(49x² + 14x + 4) = 0
7x - 2 = 0 or 49x² + 14x + 4 = 0
+ 2 + 2 x = -(14) ± √((14)² - 4(49)(4))
7x = 2 2(49)
7 7 x = -14 ± √(196 - 784)
x = ²/₇ 98
x = -14 ± √(-588)
-98
x = -14 ± 14i√(3)
-98
x = -14 + 14i√(3) or x = -14 - 14i√(3)
-98 -98
x = ¹/₇ - ¹/₇i√(3) or x = ¹/₇ + ¹/₇√(3)
x = ¹/₇ ± ¹/₇i√(3)
Solution Set: {¹/₇ ± ¹/₇i√(3), ²/₇}
2. 64x³ = 0
64 64
x³ = 0
∛(x³) = ∛(0)
x = 0
Solution Set: {0}
For
(c+d)(ex+f)
the expanded form is
dex^2+dex+cfx+df
(ce)x^2+(de+cf)x+(df)
ax^2+bx+c
the value of a is ce
the value of b is de+cf
the value of c is df
so
(-2x+3)(x+8)
(-2x+3)(1x+8)
b is 3*1+-2*8=3-16=-13
answer is -13
so pick 13 because we have -B, so B=13
Y=((square root of 2)+1)


1) (y-1)^2 =2
so we can concludes that y-1 = squareroot of 2
so ((squareeroot of 2+1) - 1)^2 = 2
2)First we can convert 21÷2 fraction to decmial form which is 10.5
so our equation would be (c+1)^2= 10.5
so c+1 is the sqaureroot root of 10.5
so c would be the (square root of 10.5)-1
3)We can again convert those fractions to decimals so 3/2=1.5 and 71/4 =17.75
so our equation would be (e-1.5)^2=17.75
so (e-1.5) is the square root of 17.75
so e=((square root of 17.75)+1)
3/5 doesn't belong with the other three