Question

write the quadratic equation whose roots are 2 and -2​

Answer 1

Answer: $x^2 - 4$

Explanation:

Since 2 and -2 are the roots of the equation, there must be two polynomials who have 2 and -2 as their roots.

Two such polynomials are (x - 2) and (x + 2)

Therefore the quadratic equation with 2 and -2 as its roots is

$(x - 2)(x + 2) = x^2 - 4$

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Answer 2

Answer:

x² - 4

Step-by-step explanation:

Since we need the equation whose roots are 2 and -2

we can say the two required polynomials are (x + 2) and (x - 2)

so multiplying both we get,

(x + 2) (x - 2)

x² - 2x + 2x - 4

x² - 4