Q. Write the quadratic equation in standard form:6x2+7x−9=4x2Answer:
Subtract x2: Subtract 4x2 from both sides of the equation to move all x2 terms to the left side.6x2−4x2+7x−9=0
Combine like terms: Combine like terms on the left side of the equation.(6x2−4x2)+7x−9=02x2+7x−9=0
Check equation: Check that all terms are on the left side and the equation is equal to zero.2x2+7x−9=0This is the standard form of a quadratic equation, which is ax2+bx+c=0.
Verify coefficients: Verify that the coefficients are correctly placed and that there are no mathematical errors.The coefficient of x2 is 2, the coefficient of x is 7, and the constant term is −9.
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