Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1≈−0.794909,x2≈0.661297
Evaluate
1×(1×x−2)2−(7x4)2=0
Simplify
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Evaluate
1×(1×x−2)2−(7x4)2
Any expression multiplied by 1 remains the same
1×(x−2)2−(7x4)2
Multiply the terms
(x−2)2−(7x4)2
Rewrite the expression
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Evaluate
(7x4)2
To raise a product to a power,raise each factor to that power
72(x4)2
Evaluate the power
49(x4)2
Evaluate the power
49x8
(x−2)2−49x8
(x−2)2−49x8=0
Factor the expression
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Evaluate
(x−2)2−49x8
Rewrite the expression in exponential form
(x−2)2−(7x4)2
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2−7x4)(x−2+7x4)
(x−2−7x4)(x−2+7x4)=0
Separate the equation into 2 possible cases
x−2−7x4=0x−2+7x4=0
Solve the equation
x∈/Rx−2+7x4=0
Solve the equation
x∈/Rx≈0.661297x≈−0.794909
Find the union
x≈0.661297x≈−0.794909
Solution
x1≈−0.794909,x2≈0.661297
Show Solution
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