Math, asked by poojaniranjan9999, 6 months ago

9x2-155x-500 factorise by quadratic formula.​

Answers

Answered by mahi735
1

Step-by-step explanation:

Find the roots means to solve for x.

9x2 - 155x - 500 = 0

We can use the AC method. This is similar to factoring by grouping.

Find the product of the coefficient of x2 and the constant term.

(9)(-500) = -4500

Now find two numbers that multiply to -4500 and add to -155. This tells us that one number is positive while the other is negative.

25 and -180 works. These numbers add up to -155

So now we can write the equation as

9x2 + 25x - 180x - 500 = 0

Rearrange the terms so that the terms that have common factors are together.

9x2 - 180x + 25x - 500 = 0

9x(x - 20) + 25(x - 20) = 0

The common factor in the grouping is (x - 20).

(x - 20)(9x + 25) = 0

Now use set the factors equal to zero and solve for x from the two parts.

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