Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What multiplies to -29 and adds to 1

Sagot :

first set up equation
x times y=xy

so
xy=-29
and
x+y=1
subtract x from both sides
y=1-x
subsitute 1-x for y in first equation
x(1-x)=-29
distribute
x-x^2=-29
add x^2 to both sides
x=-29+x^2
subtract x from both sides
0=x^2-x-29
so we can use the quadratic formula to solve for x if the equation=0 and it is in ax^2+bx+c form so

if
ax+bx+c=0 then x=[tex] \frac{ -b+/-\sqrt{b^2-4ac} }{2a} [/tex] that means x=[tex]\frac{ -b-\sqrt{b^2-4ac} }{2a}[/tex] or x=[tex] \frac{ -b-\sqrt{b^2-4ac} }{2a} [/tex] so


x^2-x-29
a=1
b=-1
c=-29
[tex]\frac{ -(-1)-\sqrt{-1^2-4(1)(-29)} }{2(1)}[/tex]=[tex]\frac{ +1-\sqrt{1^2-(-116)} }{2(1)}=\frac{ +1-\sqrt{1^2+116} }{2}=\frac{ +1-\sqrt{117} }{2}= \frac{1-10.816653826392}{2} = [tex] \frac{-9.816653826392}{2}= -4.908326913196[/tex]



the second number is
[tex]\frac{ -(-1)+\sqrt{-1^2-4(1)(-29)} }{2(1)}=\frac{ +1+\sqrt{1^2+(-116)} }{2(1)}=
\frac{1+10.816653826392}{2} = \frac{ +1+\sqrt{117} }{2}=
\frac{10.816653826392}{2}=5.908326913196[/tex]


the two numbers are
5.908326913196 and
-4.908326913196


We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.