SOLUTION: Tutor, I am think this is incorrect could you please help me with this problem: Solve by using the quadratic formula 4x^2 - 3x + = 0 (no real number solutions?) and

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Question 105072: Tutor,
I am think this is incorrect could you please help me with this problem:
Solve by using the quadratic formula
4x^2 - 3x + = 0 (no real number solutions?)
and
X^2 + x - 2 = 0 (is this 1,2 ?)
Any help is appreciated.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Something seems like it's missing...

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 (note: since the polynomial does not have a constant term, the 3rd coefficient is zero. In other words, c=0. So that means the polynomial really looks like notice , , and )





Plug in a=4, b=-3, and c=0




Negate -3 to get 3




Square -3 to get 9 (note: remember when you square -3, 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


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






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=1, and c=-2




Square 1 to get 1




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


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