solve for x and give your answer correct to significant figures x²+1=3x​

2 thoughts on “solve for x and give your answer correct to significant figures x²+1=3x​”

1. Answer:

   [tex]x^{2} +1 = 3x[/tex]

   [tex]x^{2} – 3x + 1=0[/tex]

   For a quadratic equation of the form ax²+bx+c=0 the solutions are

   [tex]x = \frac{-b +- \sqrt{b^{2} -4ac} }{2a}[/tex]

   for a=1, b= -3, c=1

   [tex]x = \frac{-(-3)+- \sqrt{(-3)^{2} -4(1)(1)} }{2(1)}[/tex]

   [tex]x = \frac{-(-3)+-\sqrt{5} }{2}[/tex]

   [tex]x = \frac{3+\sqrt{5} }{2} , \frac{3-\sqrt{5} }{2}[/tex]

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2. x²+1 = 3x

   x²-3x +1 = 0

   x² -3x +1 a = 1 b = -3 c = 1

   applying on Quadratic equation,

   x = -(-3) +/-√[(-3)² – (4×1×1)] / 2

   = 3 +/- √[ 9 – 4 ] / 2

   = 3 +/- √5 / 2

   x = 3 + √5 /2 x = 3 – √5 / 2

   = 3 + 2.23 / 2 = 3 – 2.23 / 2

   = 2.615 = 0.385

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