Question

5
$5x {}^{2} + 6x - 459 = 0$
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Answer 1

Answer:

This is the quadratic equation and it has sum of its root is 6 and product of root is -2295.

Now factor 2295, it has 14 factor as,

3,3,3,5,17.

Now 51-45=6 which is sum of root.

Therefore, rewrite the equation as,

5x²+51x-45x-459=0

x(5x+51)-9(5x+51)=0

(5x+51)(x-9)=0

Now use product of zero rule as,

x-9=0

then,

x=9

and,

5x+51=0

then,

x=-51÷5

Step-by-step explanation: