a)√7−3x=x(7)
−3x+2.645751=7x
−3x+2.645751−7x=7x−7x
−10x+2.645751=0
−10x+2.645751−2.645751=0−2.645751
−10x=−2.645751
−10x/−10=−2.645751/−10
x=0.264575
b)3x(5)√3−x=24.980762*x=24.980762x
c)2x√34−5x=7
6.661904x=7
6.661904x/6.661904=7/6.661904
x=1.050751
d)6-4x-x^2=x+4
−x^2−4x+2.44949=x+4
−x^2−4x+2.44949−(x+4)=x+4−(x+4)
−x2−5x−1.55051=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(−1.5505102572168221)/2(−1)
x=5±√18.797959/−2
x=−4.667830653621998,−0.3321693463780022
e)1+4x-x^2=x-1
−x^2+4x+1=x−1
−x^2+4x+1−(x−1)=x−1−(x−1)
−x^2+3x+2=0
x=−b±√b^2−4ac/2a
x=−(3)±√(3)^2−4(−1)(2)/2(−1)
x=−3±√17/−2
x=3/2+−1/2√17 or x=3/2+1/2√17
f)2x^2-3x+2=4-x
1.414214x^2−3x+2=−x+4
1.414214x^2−3x+2−(−x+4)=−x+4−(−x+4)
1.414214x^2−2x−2=0
x=−b±√b^2−4ac/2a
x=−(−2)±√(−2)^2−4(1.4142135623730951)(−2)/2(1.4142135623730951)
x=2±√15.313708/2.8284271247461903
x=2.090657850852245,−0.6764442884791497
g)3x^2+6x+1=7-x
1.732051x^2+6x+1=−x+7
1.732051x^2+6x+1−(−x+7)=−x+7−(−x+7)
1.732051x^2+7x−6=0
x=−b±√b^2−4ac/2a
x=−(7)±√(7)^2−4(1.7320508075688772)(−6)/2(1.7320508075688772)
x=−7±√90.569219/3.4641016151377544
x=0.7265335920760382,−4.767985476403418
h)5-√x-4=4(x-4)
−√x+1=4x−16
−√x+1+−1=4x−16+−1
−√x=4x−17
−√x/−1=4x−17/−1
√x=−4x+17
x=(−4x+17)^2
x=16x^2−136x+289
x−(16x^2−136x+289)=16x^2−136x+289−(16x^2−136x+289)
−16x2+137x−289=0
x=−b±√b^2−4ac/2a
x=−(137)±√(137)^2−4(−16)(−289)/2(−16)
x=−137±√273/−32
x=137/32+−1/32√273 or x=137/32+1/32√273
x=137/32+−1/32√273
