Respuesta :

if a root is a+√b then another is a-√b    because of quadatic formula



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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