Respuesta :
Answer:
Peta can only use the zero product property when the product of factors is equal to zero.
Peta must multiply x by (x - 5).
Peta must write the equation in standard form, then factor the expression.
Each factor must be set equal to zero, not 20.
Step-by-step explanation:
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Peta's error was splitting the equation to x = 20 and x - 5 = 20
The given expression is:
x(x - 5) = 20
Peta made an error by splitting the equation into x = 20 and x - 5 = 20
Correct approach:
x(x - 5) = 20
Expand the Left Hand Side
x² - 5x = 20
Rearrange the equation, and equate to zero
x² - 5x - 20 = 0
Solve the resulting quadratic equation using the quadratic formula to get the solution:
x = 7.62, x = -2.62
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