Question

25x²-90x+81 by middle term spilliting​

Answer 1

25x²-90x+81=0

25x²-45x-45x+81 =0

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

x=9/5

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Answer 2

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2

5

2

−

9

0

+

8

1

25x^{2}-90x+81

25x2−90x+81

Grouping

1

Use the sum-product pattern

2

5

2

−

9

0

+

8

1

25x^{2}{\color{#c92786}{-90x}}+81

25x2−90x+81

2

5

2

−

4

5

−

4

5

+

8

1

25x^{2}{\color{#c92786}{-45x}}{\color{#c92786}{-45x}}+81

25x2−45x−45x+81

2

Common factor from the two pairs

3

Rewrite in factored form

4

Combine to a square

Solution

(

5

−

9

)

2