SOLUTION: Hello, Can someone help me with these problems. 1. Solve using the quadratic formula {{{x^2+4x+13=0}}} 2. Use the discriminant to determine whether the following e

Algebra.Com
Question 247808: Hello,
Can someone help me with these problems.

1. Solve using the quadratic formula


2. Use the discriminant to determine whether the following equations have solutions that are; two different rational solutions, two different irrational solutions, exactly one rational solution, or two different imaginary solutions


3. Use quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x and use the resulting points to graph the function.

Thank you so much, I think you all are great people for help people like me who have been out of school for so long.
Tam

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x^2+4x+13=0

X=(-4+-SQRT[4^2-4*1*13])/2*1
X=(-4+-SQRT[16-52])/2
X=(-4+-SQRT-36)/2
X=(-4+-6i)/2
X=-4/2+-6i/2
X=-2+-3i ANS.
-----------------------
5a^2-6a+1=0
b^2-4ac
-6^2-4*5*1=36-20=16 this equation has 2 real number solutions: rational.
-------------------------------------------------------------------------
To find the x intercepts set this equationto zero.
f(x)=-x^2+1
0=-x^2+1
x^2=1
x=sqrt1
x=+-1 ans.
x intercepts are (1,0) (-1,0)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x^2 +1).

RELATED QUESTIONS

Using the quadratic equation x3 - 4x + 3 = 0 1. Solve by factoring 2. Solve by... (answered by bmauger)
can you help me solve by using the quadratic formula of... (answered by checkley71)
can you help me solve by using the quadratic formula of... (answered by stanbon)
can you help me solve by using the quadratic formula of... (answered by ankor@dixie-net.com)
I am having problems with these problems Solve by using the quadratic formula... (answered by jim_thompson5910)
Hello, using the quadratic formula, can you help me solve... (answered by jim_thompson5910)
I need to pass the real test. So can someone please tell me if i got these questions... (answered by Alan3354)
Can someone help me use quadratic formula to solve: Solve and graph x2 + x – 4 = 0.... (answered by jim_thompson5910)
I need help with a few Algebra problems, please. If the discriminant in the quadratic... (answered by stanbon)