Solve Linearequationswithoneunknown 5x^4=6x^3 Tiger Algebra ...

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Linear equations with one unknown x=65=1.200 x=6/5=1.200 x3=0 x^3=0

Other Ways to Solve

Linear equations with one unknown

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 5*x^4-(6*x^3)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(5 • (x4)) - (2•3x3) = 0

Step 2 :

Equation at the end of step 2 :

5x4 - (2•3x3) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors : 5x4 - 6x3 = x3 • (5x - 6)

Equation at the end of step 4 :

x3 • (5x - 6) = 0

Step 5 :

Theory - Roots of a product :

5.1 A product of several terms equals zero.When a product of two or more terms equals zero, then at least one of the terms must be zero.We shall now solve each term = 0 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2 Solve : x3 = 0 Solution is x3 = 0

Solving a Single Variable Equation :

5.3 Solve : 5x-6 = 0Add 6 to both sides of the equation : 5x = 6 Divide both sides of the equation by 5: x = 6/5 = 1.200

Two solutions were found :

1. x = 6/5 = 1.200
2. x3 = 0

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Terms and topics

• Linear equations with one unknown

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