Question

Find a quadratic equation which has double root = 9. Write the quadratic form in the simplest standard form? x^2 +bx+c.

Answer 1

The quadratic equation for an equation with double roots 9 is : $x^{2}$-18x+81 = 0.

what is a Quadratic equation?

A quadratic equation is an Algebraic equation with the highest power of its variable as 2.

It can be solved by several methods : Factorization, completing the square and graphical methods.

Analysis

if 9 is the double root of the equation, it means x = 9 or  x = 9

So (x-9)(x-9) are factors

Therefore,

(x-9)(x-9) = 0

$x^{2}$ - 9x-9x + 81 = 0

$x^{2}$ -18x+81 = 0

in conclusion, the quadratic equation of the double root 9  is:  $x^{2}$ -18x+81 = 0

Learn more about Quadratic equations : brainly.com/question/1214333

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