A quadratic equation has solutions of x=9 and x=-2. What

crapthach24

crapthach24

Answered question

2021-12-07

A quadratic equation has solutions of x=9 and x=2. What is the quadratic equation?
a) x27x18=0
b) x2+7x18=0
c) x22x+9=0
d) x2+9x2=0

Answer & Explanation

Gladys Fasching

Gladys Fasching

Beginner2021-12-08Added 11 answers

Step 1
Given: A quadratic equation has solutions of x=9 and x=2
To Find: The quadratic equation whose solutions are given above.
Formula Used: If the solutions of any quadratic equation are α and β, the equation of the quadratic equation is written as [x2(α+β)x+αβ]=0
Step 2
Explanation:
As per the question, it is given that the solutions of the quadratic equations are x=9 and x=2
And we know that, if the solutions of any quadratic equation are α and β, the equation of the quadratic equation is written as [x2(α+β)x+αβ]=0
Here is iven as α=9 and β=2, so from the above equations, we can write as follows,
[x2(α+β)x+αβ]=0
x2(92)x+9×(2)=0
x27x18=0
So, the equation of the quadratic equation is x27x18=0
Hence, the equation of the quadratic equation is x27x18=0, which is the first option.

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