Find all solutions, real and complex of the equation x6+9x4−4x2−36=0
x6+9x4−4x2−36=0Given(x6+9x4)−(4x2+36)=0Group termsx4(x2+9)−4(x2+9)=0Factor out x4 and 4(x4−4)(x2+9)=0Factor out x4−4x44=0 and x2+9=0Zero Product Propertyx4=4 and x2=−9Solve for xx=±4√4 and x=±√−9Recall that i2=−1x=±4√4 and x=±√9i2Simplifyx=±4√4 and x=±3i
No comments:
Post a Comment