Which equation has solutions of 6 and -6? x2 – 12x + 36 = 0 x2 + 12x – 36 = 0 x2 + 36 = 0 x2 – 36 = 0

Students were enquired to answer a question at institution and to express what is most important for them to succeed. Out of the many replies, the one that that stood out was practice. Successful persons are usually not born successful; they become successful from hard work and commitment. This is how you can complete your goals. in the following paragraphs are one of the answer and question example that you could benefit from to practice and enhance your knowledge and also give you insights that might just assist you to keep up your study in school.

Question:

Which equation has solutions of 6 and -6? x2 – 12x + 36 = 0 x2 + 12x – 36 = 0 x2 + 36 = 0 x2 – 36 = 0

Answer:

The Equation whose solutions are 6 and -6 is x²-36.

What is Quadratic Equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given solutions are α = 6 and β = -6.

So, General equation

( x – α ) ( x – β ) = 0

( x – 6 ) ( x – (-6)) = 0

(x – 6) ( x + 6) = 0

x(x+6) -6(x+6) = 0

x² + 6x -6x – 36 = 0

x² -36 = 0

Thus, the Equation whose solutions are 6 and -6 is x² – 36.

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