Question

Middle term spilt of x²-25x+50=0

Answer 1

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-25x+50

The first term is, x2 its coefficient is 1 .

The middle term is, -25x its coefficient is -25 .

The last term, "the constant", is +50

Step-1 : Multiply the coefficient of the first term by the constant 1 • 50 = 50

Step-2 : Find two factors of 50 whose sum equals the coefficient of the middle term, which is -25 .

-50 + -1 = -51

-25 + -2 = -27

-10 + -5 = -15

-5 + -10 = -15

-2 + -25 = -27

-1 + -50 = -51

1 + 50 = 51

2 + 25 = 27

5 + 10 = 15

10 + 5 = 15

25 + 2 = 27

50 + 1 = 51

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1 :

x2 - 25x + 50 = 0

Step 2 :

Parabola, Finding the Vertex :

2.1 Find the Vertex of y = x2-25x+50