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please help!!! solve for x: 4+3x= 3(x+5) / x+3?

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  • please help!!! solve for x: 4+3x= 3(x+5) / x+3?


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Answer #1 | 11/02 2014 06:33
Hi
Answer #2 | 11/02 2014 06:39
4 + 3x = 3(x + 5)/(x + 3) => (x + 3)(4 + 3x) = 3(x + 5) => 4x + 3x^2 + 12 + 9x = 3x + 15 => 3x^2 + 10x = 3 via completing the square => x^2 + (10/3)x = 1 => x^2 + (10/3) + (5/3)^2 = 1 + (5/3)^2 => (x + 5/3)^2 = 34/9 => x + 5/3 = ±√(34)/3 => x = (-5 ±√34)/3 => x = (-5 − √34)/3 or (-5 + √34)/3
Answer #3 | 11/02 2014 06:35
ok so 4+3x=3x+15/x+3......................the first thing we need to do is multiply by x+3 so (4+3x)(x+3)=3x+15 4x+12+3x^2+9x=3x+15 3x^2+13x+12=3x+15 3x^2+10x-3=0.................................... know we need to use the quadratic equation a=3 b=10 c=-3 x1,2=-b+or-sqrD/2a x1,2=-10+or- sqr10^2-4*(-3)*3/6 x1,2=-10+or-sqr64/6..........................sqr64=8 x1,2=-10+or-8/6 x1=-10-8/6=-18/6=-3 x2=-10+8/6=-2/6=-1/3 x1=-3 x2=-1/3 hope i helped^^
Answer #4 | 11/02 2014 08:03
step by step solutions: http://symbolab.com/solver/equation-calculator/4%2B3x%3D%20%5Cfrac%7B3(x%2B5)%7D%7Bx%2B3%7D%20 hope this helps
Answer #5 | 11/02 2014 08:27
solve for x: 4+3x= 3(x+5) /( x+3) =4+3x= 3(x+5) / (x+3) =(x+3)4+3x= 3(x+5) /( x+3)(x+3) =4x+12+3x²+9x=3x+15 =3x²+13x+12=3x+15 =3x²+13x-3x+12-15=0 =3x²+10x-3=0 =a=3 b=10 c=-3 x=(-b±√(b²-4ac)/(2a) x=(-10±(√(10²-4(3)(-3)/(2(3)) x=(-10±(√136)/6 x=(-5±√34)/3 =x=0.2769839649484336 or x=−3.610317298281767
Answer #6 | 12/02 2014 22:33
x = (-5 − √34)/3 or (-5 + √34)/3
Answer #7 | 12/02 2014 02:21
4 + 3x = 3 (x + 5) / (x + 3) (x + 3) (4 + 3x) = 3 (x + 5) 4x + 3x^2 + 12 + 9x = 3x + 15 3x^2 + 10x = 3 x^2 + ( 10 / 3 ) x = 1 x^2 + ( 10 / 3 ) + ( 5 / 3 )^2 = 1 + ( 5 / 3 )^2 ( x + 5 / 3 )^2 = 34 / 9 x + 5 / 3 = ± √ ( 34 ) / 3 x = ( - 5 ± √ 34 ) / 3 x = ( - 5 - √ 34 ) / 3 or ( - 5 + √ 34 ) / 3

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