Which equation becomes x² − 7x + 10 = 0 after writing it in standard form?
Answer and explanation
Correct answer: x² − 7x = −10
To identify the equivalent equation, reverse the final transposition used in standardisation. Starting from x² − 7x + 10 = 0, move the constant term +10 to the right side; its sign changes, giving x² − 7x = −10. Conversely, moving −10 from the right side of option A to the left changes it to +10 and produces x² − 7x + 10 = 0. Option B would give x² − 7x − 10 = 0, while options C and D have the wrong sign for the x-term as well. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
x² − 7x = −10
Why is this the correct answer?
To identify the equivalent equation, reverse the final transposition used in standardisation. Starting from x² − 7x + 10 = 0, move the constant term +10 to the right side; its sign changes, giving x² − 7x = −10. Conversely, moving −10 from the right side of option A to the left changes it to +10 and produces x² − 7x + 10 = 0. Option B would give x² − 7x − 10 = 0, while options C and D have the wrong sign for the x-term as well. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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