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Popular >

8|sin(pix)-0.25|+1=7

Solution

8 ∣ sin (π x) - 0.25 ∣ + 1 = 7

Solution

x = \frac{7}{6} + 2 n, x = \frac{11}{6} + 2 n, x = \frac{1}{2} + 2 n

+1

Solution steps

8 ∣ sin (π x) - 0.25 ∣ + 1 = 7

Solve by substitution

sin (π x) = - 0.5 or sin (π x) = 1

sin (π x) = - 0.5 : x = \frac{7}{6} + 2 n, x = \frac{11}{6} + 2 n

sin (π x) = 1 : x = \frac{1}{2} + 2 n

Combine all the solutions

x = \frac{7}{6} + 2 n, x = \frac{11}{6} + 2 n, x = \frac{1}{2} + 2 n

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Frequently Asked Questions (FAQ)

What is the general solution for 8|sin(pix)-0.25|+1=7 ?
The general solution for 8|sin(pix)-0.25|+1=7 is x= 7/6+2n,x= 11/6+2n,x= 1/2+2n