2. x=−0.829484
3. x=±2,±1
4.x=−1.773013,1
Step-by-step explanation:
2. sullution
step 1:No root was found algebraically. However, the following root(s) were found by numerical methods.
x=-0.829484
3. sullution
step 1: Factor {x}^{4}-5{x}^{2}+4x
4
−5x
2
+4.
({x}^{2}-4)({x}^{2}-1)=0
(x
2
−4)(x
2
−1)=0
step 2: Solve for x.
x=\pm 2,\pm 1
x=±2,±1
4. Sollution
step 1: Simplify 2{x}^{4}-7{x}^{3}-4x+27x-182x
4
−7x
3
−4x+27x−18 to 2{x}^{4}-7{x}^{3}+23x-182x
4
−7x
3
+23x−18.
2{x}^{4}-7{x}^{3}+23x-18=0
2x
4
−7x
3
+23x−18=0
step 2: Factor 2{x}^{4}-7{x}^{3}+23x-182x
4
−7x
3
+23x−18 using Polynomial Division.
(2{x}^{3}-5{x}^{2}-5x+18)(x-1)=0
(2x
3
−5x
2
−5x+18)(x−1)=0
step 3: No root was found algebraically. However, the following root(s) were found by numerical methods.
x=-1.773013,1
