Quadratic Equation into Standard Form
What is a Quadratic Equation?
Quadratic Equation is an algebraic equation that has an operation that is known as squaring which is multiplying of the variable by itself. It is an equation that has a degree of two which means that the function has a highest exponent of two.
What is a Standard Form?
Standard form is a mathematical concept in which the equation or number is expressed in the most commonly accepted form but is still inclined with the rules.
Quadratic Equation to Standard Form Formula:
where :
a & b = known coefficients
x = unknown variable
c = constant
note :
a ≠ 0
Solution:
q(q + 7) = 5q² - 3
Distribute the q:
(q·q) + (q·7) = 5q² - 3
q² + 7q = 5q² - 3
Transpose:
(-5q² + q²) + 7q + 3 = 0
-4q² + 7q + 3 = 0
Final Answer:
-4q² + 7q + 3 = 0
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