(sqrt(3))/2 cos(x)+1/2 sin(x)

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Steps Examples

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x²4 −5x2 +6=0

Solution

x=6, x=4

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Solve by:

Quadratic formula

Completing the square

Factoring method

One step at a time

x²4 −5x2 +6=0

Find Least Common Multiplier of 4, 2: 4

Multiply by LCM=4

x²4 · 4−5x2 · 4+6· 4=0· 4

Simplify

x²−10x+24=0

Solve with the quadratic formula

x_{1, 2}=−(−10)± √(−10)²−4· 1· 242· 1

√(−10)²−4· 1· 24=2

x_{1, 2}=−(−10)± 22· 1

Separate the solutions

x₁=−(−10)+22· 1 , x₂=−(−10)−22· 1

x=−(−10)+22· 1 : 6

x=−(−10)−22· 1 : 4

The solutions to the quadratic equation are:

x=6, x=4

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