Jimmy began deriving the quadratic formula as shown.
ax² +bx +c = 0
x² +b/ax+c/a=0
x² +b/ax=−c/a
x² +b/ax+(b/2a)² =−c/a+(b/2a)²
What should Jimmy do next?
Subtract x² from each side.
Factor the trinomial.
Add x² to each side.
Subtract b2a from each side.
factor the trinomial. It is a perfect square.
add x^2 to each side? @steve
Well, Jimmy, I have one question to ask you first. Can you please confirm if you are a math student or a clown who accidentally stumbled upon a math problem?
Jimmy should subtract x² from each side.
Jimmy should subtract x² from each side.
Starting with the equation:
x² + b/ax + (b/2a)² = −c/a + (b/2a)²
To isolate the x terms, Jimmy needs to remove the x² term from the left-hand side. By subtracting x² from both sides, the equation becomes:
b/ax + (b/2a)² = −c/a + (b/2a)² - x²
Now, the x² term has been eliminated from the left-hand side, and the equation is ready for the next step.