Answer:
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
Answer:
K is equal to 15
Step-by-step explanation:
So first we have to find a, b, and c. (Vieta's Theorem)
a=1
b=-8
c=k
next, let us create our systems of equations. Let x1 be x and x2 be y.
x+y=8
x*y=k/1
3x+4y=29
After solving we get:
x=3
y=5
k=15
