SOLUTION: i need some help with these i am trying to solve these by quadratic equation formula and these are the answer that i came up with. (x - 1)^2 = 7 i am getting 1 +- sqrt 7 x^2

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Question 107173: i need some help with these i am trying to solve these by quadratic equation formula and these are the answer that i came up with.
(x - 1)^2 = 7
i am getting 1 +- sqrt 7
x^2 - 9x - 4 = 6
i get -1 and a 10
4x^2 - 8x + 3 = 5
i am getting 2 +-sqrt 6/2
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!





Check:
(3.64 – 1)^2 = 7
2.64)^2 = 7

x^2 - 9x - 4 = 6 …move to the left
x^2 – 9x – 4 – 6 = 0
x^2 – 9x – 10 = 0
Solved by pluggable solver: Quadratic Formula
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=-9, and c=-10




Negate -9 to get 9




Square -9 to get 81 (note: remember when you square -9, 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


Lets look at the first part:





Add the terms in the numerator

Divide


So one answer is






Now lets look at the second part:





Subtract the terms in the numerator

Divide


So another answer is




So our solutions are:

or





… move to the left


Solved by pluggable solver: Quadratic Formula
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=4, b=-8, and c=-2




Negate -8 to get 8




Square -8 to get 64 (note: remember when you square -8, 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 4 to get 8


So now the expression breaks down into two parts


or



Now break up the fraction



or



Simplify



or



So the solutions are:

or




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