Question

Write the linear system:

Answer 1

Answer:

(See explanation for further details).

Step-by-step explanation:

C) The linear system is:

$(-1)^{2} \cdot a + (-1)\cdot b + c = 5$

$c = - 4$

$(4)^{2}\cdot a + (4)\cdot b + c = 0$

After some algebraic handling:

$a - b + c = 5$

$c = -4$

$16\cdot a + 4\cdot b + c = 0$

By direct substitution:

$a - b - 4 = 5$

$16\cdot a + 4\cdot b - 4 = 0$

$a - b = 9$

$4\cdot a + b = 1$

$a = 9 + b$

$4\cdot (9+b)+b = 1$

$36 + 5\cdot b = 1$

$5\cdot b = -35$

$b = -7$

$a = 2$

D) The parameter values are: $a = 2$, $b = -7$, $c = -4$

E) The quadratic equation is $y = 2\cdot x^{2} - 7\cdot x -4$