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USPshnik [31]
3 years ago
7

What is the solution for the following equation? x^2-6x+9=11

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
Make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation

if you hahve
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

1x^2-6x-2=0
a=1
b=-6
c=-2

x=\frac{-(-6)+/- \sqrt{(-6)^{2}-4(1)(-2)} }{2(1)}
x=\frac{6+/- \sqrt{36+8} }{2}
x=\frac{6+/- \sqrt{44} }{2}
x=\frac{6+/- 2\sqrt{11} }{2}
x=3+/- \sqrt{11}
x=3+ \sqrt{11} or 3- \sqrt{11}

aprox
x=6.31662 or -0.316625
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