Respuesta :
Changes made to your input should not affect the solution:
(1): "x1" was replaced by "x^1". 3 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
57x28 + x = x • (57x27 + 1)
Trying to factor as a Sum of Cubes :
3.2 Factoring: 57x27 + 1
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 57 is not a cube !!
Final result :
x • (57x27 + 1)
Processing ends successfully
(1): "x1" was replaced by "x^1". 3 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
57x28 + x = x • (57x27 + 1)
Trying to factor as a Sum of Cubes :
3.2 Factoring: 57x27 + 1
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 57 is not a cube !!
Final result :
x • (57x27 + 1)
Processing ends successfully
Answer:
x = 8
Step-by-step explanation:
If you plug the equation into Desmos you can see the x-intercept is 8
plus I got it right on edge ;)