Jamal's solution is accurate because he correctly set the equation to zero by rearranging \( X^2 + 4X - 12 = 0 \) before factoring it into \( (X + 6)(X - 2) = 0 \). In contrast, George's solution is inaccurate because he incorrectly factored \( X^2 + 4X - 5 = 7 \) into \( (X + 5)(X - 1) = 7 \) without first setting the equation to zero, which misrepresents the problem.
QUADRATIC EQUATIONS UNIT TEST:
USE THE TABLES DTO ANSWER THE QUESTION.
JAMAL
STEP 1: SET EQUATION = 0 X 2 + 4 X - 12 = 0
STEP 2: WRITE QUADRATIC EQUATION AS THE PRODUCT OF TWO FACTORS. ( X = 6) ( X - 2) = 0
STEP 3: SET EACH FACTOR EQUAL TO 0. X + 6 = 0 AND X - 2 = 0
STEP 4: SOLVE EACH EQUATION. X = - 6 AND X = 2
GEORGE
STEP 1: BEGIN WITH THE EQUATION X 2 + 4 X - 5= 7
STEP 2: WRITE QUADRATIC EQUATION AS THE PRODUCT OF TWO FACTORS. ( X + 5) ( X - 1) = 7
STEP 3: SET EACH FACTOR EQUAL TO 0. X + 5 =0 AND X - 1 = 0
STEP 4: SOLVE EACH EQUATION. X = - 5 AND X = 1
WHEN TRYING TO SOLVE THE QUADRATIC EQUATION X2 + 4X - 5 = 7, JAMAL AND GEORGE EACH PROVIDED THEIR WORK IN THE TABLES. EACH SAID THEY USED ZERO PRODUCT PROPERTY TO SOLVE THE EQUATION AFTER STEP 2. EXPLAIN HOW YOU KNOW THE CORRECT STUDENT'S SOLUTION IS ACCURATE AND HOW YOU KNOW THE INCORRECT STUDENT'S SOLUTION IS INACCURATE. IN 2 SHORT SENTENCES.
1 answer