16-01-2022
Mathematics

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Write the quadratic equation whose roots are 6 and -6 and whose leading coefficient is 4

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goddessboi goddessboi

16-01-2022

Answer:

[tex]f(x)=4x^2-144[/tex]

Step-by-step explanation:

Since x-6=0 has x=6 and x+6=0 has x=-6, then:

[tex]f(x)=4(x+6)(x-6)[/tex]

[tex]f(x)=4(x^2-36)[/tex]

[tex]f(x)=4x^2-144[/tex]

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