SOLUTION: Solve for x: x^2-10x+14=0

Question 119140:
Solve for x: x^2-10x+14=0
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=-10, and c=14

Negate -10 to get 10

Square -10 to get 100 (note: remember when you square -10, you must square the negative as well. This is because .)

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So these expressions approximate to

or

So our solutions are:
or

Notice when we graph , we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X^2-10X+14=0
USING THE QUADRATIC EQUATION- WE GET:
X=(10+-SQRT[-10^2-4*1*14])/2*1
X=(10+-SQRT[100-56])/2
X=(10+-SQRT44)/2
X=(10+-6.63)/2
X=(10+6.63)/2
X=16.63/2
X=8.32 ANSWER.
X=(10-6.63)/2
X=3.37/2
X=1.68 ANSWER.

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