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s2008m [1.1K]
3 years ago
15

Can someone help me solve this please. I forgot how to so if you could explain please.

Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

So for this, I will be using the quadratic formula, which is x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, plug the numbers in their appropriate spots:

x=\frac{-10\pm \sqrt{10^2-4*1*(-2)}}{2*1}

Next, solve the exponent and the multiplications:

x=\frac{-10\pm \sqrt{100-(-8)}}{2}\\\\x=\frac{-10\pm \sqrt{100+8}}{2}

Next, solve the addition:

x=\frac{-10\pm \sqrt{108}}{2}

Next, apply the product rule of radicals here and simplify the radical:

  • Product rule of radicals: √ab = √a × √b

\sqrt{108}=\sqrt{6}\times \sqrt{18}=\sqrt{3} \times \sqrt{2} \times \sqrt{9} \times \sqrt{2} =3\times 2\times \sqrt{3}=6\sqrt{3}\\\\x=\frac{-10\pm 6\sqrt{3}}{2}

Next, divide:

x=-5\pm 3\sqrt{3}}

*<u>The above is your exact solution. Approximates (rounded to the hundreths) are below:</u>

Next, solve the equation twice, once with the + symbol and once with the - symbol:

x=-5\pm 3\sqrt{3}}\\x=0.20, -10.20

Luba_88 [7]3 years ago
5 0

Hi,

Let's solve the equation step-by-step.

x2+10x−2=0

Step 1: Use quadratic formula with a=1, b=10, c=-2.

x= −b±√b2−4ac  / 2a

x=  −(10)±√(10)2−4(1)(−2)  / 2(1)

x=  −10±√108  / 2

x=−5+3√3 or x=−5−3√3

Answer:

x=−5+3√3 or x=−5−3√3

Have a great day!

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