It is known that x1 and x2 are roots of the equation x2−8x+k=0, where 3x1+4x2=29. Find k.

(note it is not 3x^1 and 4x^2 it is 3x sub 1 and 4x sub 2)

The answer to your question is   k = -3233

Step-by-step explanation:

Data

x₁, x₂ are the roots

Equation l      x² - 8x + k = 0

Equation ll     3x₁ + 4x₂ = 29

k = ?

Process

1.- Write another equation

                     x₁ + x₂ = - 8

2.- Solve the system of equations by elimination

                      3x₁ + 4x₂ = 29          Equation l

                        x₁ +   x₂ = -8            Equation ll

-Multiply equation ll by -3

                      3x₁  + 4x₂ = 29

                    -3x₁   - 3x₂ = 24

                       0    + x₂ = 53

-Find x₁

                       x₁ + 53 = -8

                       x₁ = -8 - 53

                       x₁ = -61

2.- Find k

                      (x₁)(x₂) = k

                      (53)(-61) = k

                      k = -3233

60.9774

step-by-step explanation:

because when you add 47.6 plus 7.32 equals 54.92

and when you add .0574 + 6= 6.0574

and when you add 54.92 and 6.0574 you get the answer of 60.9774.

plzz mark brainlest last one got deleted. cause i didn't explain it but i did but i understand what the mod meant