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How do you solve 6tanx2-17tanx plus 7 equals 0? - Answers
Assuming your equation is: 6(tanx)2-17tanx + 7 = 0The easiest way to do it is use a substitution. Let s=tanx, then substitute s for tanx in the original equation to get the following:6s2-17s+7=0Using the quadratic equation solve for s:s = {-(-17) +- SQRT [(-17)2 - 4*(6)*7)]}/(2*6)s = [17 + SQRT (121)]/12 & s= [17 - SQRT(121)]/12s = 28/12 or 7/3 & s = 6/12 or 1/2Now substitute tanx back for s to gettan x = 7/3 & tan x = 1/2x = tan-1(7/3) or approx. 66.8o & x= tan-1(1/2) or approx. 26.6oIn radians it would be 1.166 & 0.4636
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How do you solve 6tanx2-17tanx plus 7 equals 0? - Answers
Assuming your equation is: 6(tanx)2-17tanx + 7 = 0The easiest way to do it is use a substitution. Let s=tanx, then substitute s for tanx in the original equation to get the following:6s2-17s+7=0Using the quadratic equation solve for s:s = {-(-17) +- SQRT [(-17)2 - 4*(6)*7)]}/(2*6)s = [17 + SQRT (121)]/12 & s= [17 - SQRT(121)]/12s = 28/12 or 7/3 & s = 6/12 or 1/2Now substitute tanx back for s to gettan x = 7/3 & tan x = 1/2x = tan-1(7/3) or approx. 66.8o & x= tan-1(1/2) or approx. 26.6oIn radians it would be 1.166 & 0.4636
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How do you solve 6tanx2-17tanx plus 7 equals 0? - Answers
Assuming your equation is: 6(tanx)2-17tanx + 7 = 0The easiest way to do it is use a substitution. Let s=tanx, then substitute s for tanx in the original equation to get the following:6s2-17s+7=0Using the quadratic equation solve for s:s = {-(-17) +- SQRT [(-17)2 - 4*(6)*7)]}/(2*6)s = [17 + SQRT (121)]/12 & s= [17 - SQRT(121)]/12s = 28/12 or 7/3 & s = 6/12 or 1/2Now substitute tanx back for s to gettan x = 7/3 & tan x = 1/2x = tan-1(7/3) or approx. 66.8o & x= tan-1(1/2) or approx. 26.6oIn radians it would be 1.166 & 0.4636
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- og:descriptionAssuming your equation is: 6(tanx)2-17tanx + 7 = 0The easiest way to do it is use a substitution. Let s=tanx, then substitute s for tanx in the original equation to get the following:6s2-17s+7=0Using the quadratic equation solve for s:s = {-(-17) +- SQRT [(-17)2 - 4*(6)*7)]}/(2*6)s = [17 + SQRT (121)]/12 & s= [17 - SQRT(121)]/12s = 28/12 or 7/3 & s = 6/12 or 1/2Now substitute tanx back for s to gettan x = 7/3 & tan x = 1/2x = tan-1(7/3) or approx. 66.8o & x= tan-1(1/2) or approx. 26.6oIn radians it would be 1.166 & 0.4636
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