Answer:
r =(1+√197)/14= 1.074
or:
r =(1-√197)/14=-0.931
Step-by-step explanation:
Step 1 :Equation at the end of step 1
(7r2 - r) - 7 = 0
Step 2:Trying to factor by splitting the middle term
2.1 Factoring 7r2-r-7
2.1 Factoring 7r2-r-7 The first term is, 7r2 its coefficient is 7 .
2.1 Factoring 7r2-r-7 The first term is, 7r2 its coefficient is 7 .The middle term is, -r its coefficient is -1 .
2.1 Factoring 7r2-r-7 The first term is, 7r2 its coefficient is 7 .The middle term is, -r its coefficient is -1 .The last term, "the constant", is -7
2.1 Factoring 7r2-r-7 The first term is, 7r2 its coefficient is 7 .The middle term is, -r its coefficient is -1 .The last term, "the constant", is -7 Step-1 : Multiply the coefficient of the first term by the constant 7 • -7 = -49
2.1 Factoring 7r2-r-7 The first term is, 7r2 its coefficient is 7 .The middle term is, -r its coefficient is -1 .The last term, "the constant", is -7 Step-1 : Multiply the coefficient of the first term by the constant 7 • -7 = -49 Step-2 : Find two factors of -49 whose sum equals the coefficient of the middle term, which is -1 .
-49 + 1 = -48
-49 + 1 = -48 -7 + 7 = 0
-49 + 1 = -48 -7 + 7 = 0 -1 + 49 = 48
Observation : No two such factors can be found !!
Observation : No two such factors can be found !!Conclusion : Trinomial can not be factored
Equation at the end of step
Equation at the end of step2
