Question

100 POINTS + BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11 Solve x³ - 9x^(1.5) + 8 = 0

Answer 1

Your problem → solve x3 - 9x^(1.5) + 8 = 0

Answer:

3 Possible Answers!

X = 1

Or X = $\frac{-1\sqrt[+]{33} }{2}$

or X = $\frac{-1\sqrt[-]{33} }{2}$

Step-by-step explanation:

$x3-9x1.5+8=0⇒x3-9x+8=0⇒x3-x2+x2-x-8x+8=0$  

$⇒x2(x-1)+x(x-1)-8(x-1)=0⇒(x-1)(x2+x-8)=0⇒(x-1)=0or(x2+x-8)=0$

$⇒x=1or(x2+x-8)=0Roots of (x2+x-8)=0$

$comparing~ the~ given~ equation~ with~ the~ standard~ quadratic~ equation ~ax2+bx+c=0,we get, a=1,b=1,c=-8.∴Δ=b2-4ac=(1)2-4(1)(-8)=1+32$

$=33∴√Δ=√33Now, α=-b+√Δ2a =-(1)+√332⋅1$

$Now, α=-b+√Δ2a =-(1)+√332⋅1 =-1+√332 and, β=-b-√Δ2a$

$\frac{-1\sqrt[-]{33} }{2}$

               

Answer 2

Answer:

x=1, x=4

Step-by-step explanation: