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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Solve using the quadratic formula. Show all work. Write each solution in simplest-example-1

1 Answer

4 votes

Answer:


6+ √(29),6-√(29)

Explanation:

The given quadratic equation is
x^2-12x+7=0

The general form of quadratic equation is given by :


ax^2+bx+c=0

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :


x=(-b\pm √(b^2-4ac) )/(2a)

Put all the values,


a=(-(-12)\pm √((-12)^2-4* 1* 7) )/(2(1))\\\\=(12\pm √(116))/(2)\\\\=(12\pm 2√(29))/(2)\\\\=6\pm √(29)

So, the solutions of the given equation is
6+ √(29),6-√(29). Hence, the correct option is (d).

User Dmitry Andreev
by
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