Question
Solve the equation(The real numbers system)
t1≈−0.816021,t2≈1.215798
Evaluate
15t3×t−12t−t3×t=16
Evaluate
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Evaluate
15t3×t−12t−t3×t
Multiply
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Multiply the terms
15t3×t
Multiply the terms with the same base by adding their exponents
15t3+1
Add the numbers
15t4
15t4−12t−t3×t
Multiply the terms
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Evaluate
t3×t
Use the product rule an×am=an+m to simplify the expression
t3+1
Add the numbers
t4
15t4−12t−t4
Subtract the terms
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Evaluate
15t4−t4
Collect like terms by calculating the sum or difference of their coefficients
(15−1)t4
Subtract the numbers
14t4
14t4−12t
14t4−12t=16
Move the expression to the left side
14t4−12t−16=0
Factor the expression
2(7t4−6t−8)=0
Divide both sides
7t4−6t−8=0
Solution
t1≈−0.816021,t2≈1.215798
Show Solution

Solve the equation(The complex numbers system)
t1≈−0.816021,t2≈−0.199888−1.054506i,t3≈−0.199888+1.054506i,t4≈1.215798
Evaluate
15t3×t−12t−t3×t=16
Simplify
More Steps

Evaluate
15t3×t−12t−t3×t
Multiply
More Steps

Multiply the terms
15t3×t
Multiply the terms with the same base by adding their exponents
15t3+1
Add the numbers
15t4
15t4−12t−t3×t
Multiply the terms
More Steps

Evaluate
t3×t
Use the product rule an×am=an+m to simplify the expression
t3+1
Add the numbers
t4
15t4−12t−t4
Subtract the terms
More Steps

Evaluate
15t4−t4
Collect like terms by calculating the sum or difference of their coefficients
(15−1)t4
Subtract the numbers
14t4
14t4−12t
14t4−12t=16
Move the expression to the left side
14t4−12t−16=0
Factor the expression
2(7t4−6t−8)=0
Divide both sides
7t4−6t−8=0
Calculate
t≈1.215798t≈−0.199888+1.054506it≈−0.199888−1.054506it≈−0.816021
Solution
t1≈−0.816021,t2≈−0.199888−1.054506i,t3≈−0.199888+1.054506i,t4≈1.215798
Show Solution
