Respuesta :
if a root is a+√b then another is a-√b because of quadatic formula
r2=1-√5
r2=1-√5
If one root of equation 2[tex]x^{2}[/tex]+8x+c=0 is r1=1+[tex]\sqrt{5}[/tex] then the other root will be r2=7-[tex]\sqrt{5}[/tex].
What is equation?
Equation is relationship between two or more variables expressed in equal to form , Equations of two variables look like ax+by=c. It may be linear equation, quadratic equation and cubic equation.
How to find roots of equation?
We have been given one root of equation 2[tex]x^{2}[/tex]+8x+c=11 be 1+[tex]\sqrt{5}[/tex] and we have to find the other root of the equation. We know that the standard equation from roots is [tex]x^{2}[/tex]-sx+p=0 in which s is sum of roots and p is the product of roots.
When we compare the standard equation from the given equation we can find that sum of roots be 8.
let the other root be z such that:
z+1+[tex]\sqrt{5}[/tex]=8
z=8-1+[tex]\sqrt{5}[/tex]
=7+[tex]\sqrt{5}[/tex]
Hence if one root of equation 2[tex]x^{2}[/tex]+8x+c=0 is r1=1+[tex]\sqrt{5}[/tex] then the other root will be r2=7-[tex]\sqrt{5}[/tex].
Learn more about equation at https://brainly.com/question/2972832
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