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Back to Solve linear-quadratic systems — Problem 1 · Task Set 43

HSA.REI.C.7 Tutor Intake — Linear-Quadratic Systems

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·8 problems·~13 min·Common Core Math - HS Algebra·standard·hsa-rei-c-7
Work through problems with immediate feedback
A

Procedures

1.

Solve the system:
y=x+2y = x + 2
y=x2y = x^2

Substitute y=x+2y = x + 2 into the second equation:
$x + 2 = x^2 \Rightarrow x^2 - x - 2 = 0 \Rightarrow (x - $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   )(x+)(x +   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   )=0) = 0

So $x = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   or $x = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

factor-1:
factor-2:
x-solution-1:
x-solution-2: