Solve for x: -27 x-38 x^2 = -25 Divide both sides by -38: x^2+(27 x)/38 = 25/38 Add 729/5776 to both sides: x^2+(27 x)/38+729/5776 = 4529/5776 Write the left hand side as a square: (x+27/76)^2 = 4529/5776 Take the square root of both sides: x+27/76 = sqrt(4529)/76 or x+27/76 = -sqrt(4529)/76 Subtract 27/76 from both sides: x = sqrt(4529)/76-27/76 or x+27/76 = -sqrt(4529)/76 Subtract 27/76 from both sides: Answer: | | x = sqrt(4529)/76-27/76 or x = -27/76sqrt(4529)/76
P.S. Please DO NOT use "e" as a variable, because "e" has a special meaning in Math.
Solve for x: -27 x-38 x^2 = -25 Divide both sides by -38: x^2+(27 x)/38 = 25/38 Add 729/5776 to both sides: x^2+(27 x)/38+729/5776 = 4529/5776 Write the left hand side as a square: (x+27/76)^2 = 4529/5776 Take the square root of both sides: x+27/76 = sqrt(4529)/76 or x+27/76 = -sqrt(4529)/76 Subtract 27/76 from both sides: x = sqrt(4529)/76-27/76 or x+27/76 = -sqrt(4529)/76 Subtract 27/76 from both sides: Answer: | | x = sqrt(4529)/76-27/76 or x = -27/76sqrt(4529)/76
P.S. Please DO NOT use "e" as a variable, because "e" has a special meaning in Math.
+128564 Let's use x instead of e........as guest points out......."e" might be construed as a constant rather than a variable....
Rearrange as
38x^2 + 27x - 25 = 0
Using the qudratic formula, we have
x = [ -27 +/- sqrt [27^2 - 4(38)(-25) ] ] / 2(38)
x = [ -27 +/- sqrt (4529) ] / 76 ≈ 0. 530 or [-27 - sqrt(4529)] / 76 ≈ -1.209
