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Subjects
Class 10MathematicsQuadratic EquationsIntroduction to Quadratic EquationsExpertLevel 29
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What is the standard form with integer coefficients of (\frac{3x^2+2}{4}-\frac{x-5}{3}=6)?

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Answer and explanation

Correct answer: (9x^2-4x-42=0)

Multiplying the whole equation by (12) gives (9x^2+6-4x+20=72). Therefore the standard form is (9x^2-4x-46=0).

Related tags

Quadratic-EquationsFractionsStandard-FormExpert

Frequently asked questions

What is the correct answer to this question?

(9x^2-4x-42=0)

Why is this the correct answer?

Multiplying the whole equation by (12) gives (9x^2+6-4x+20=72). Therefore the standard form is (9x^2-4x-46=0).

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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  1. 1Which of the following equations is a quadratic equation?
  2. 2What is the value of \(a\) in the equation \(5x^2-2x+9=0\)?
  3. 3What is the value of \(b\) in \(3x^2+7x-4=0\)?
  4. 4In the equation \(4x^2-8x+1=0\), what is the value of \(c\)?
  5. 5In the quadratic equation \(x^2-6x=0\), what is the value of the constant term (c)?
  6. 6What is the value of \(x\) in the equation \(9x^2 + 11 = 0\)?
  7. 7Under which condition is the equation \(ax^2+bx+c=0\) called a quadratic equation?
  8. 8What is the standard form of the equation \(2x^2+5x=3\)?
  9. 9What is the standard form of the equation \(x^2 = 4x + 12\)?
  10. 10Which of the following equations is written in the standard form \(ax^2+bx+c=0\)?
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