solve by using quadratic formula 4x2+4√5x+5=0
Answers
Step-by-step explanation:
4x2-5x-5=0
Two solutions were found :
x =(5-√105)/8=-0.656
x =(5+√105)/8= 1.906
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22x2 - 5x) - 5 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4x2-5x-5
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -5 .
-20 + 1 = -19
-10 + 2 = -8
-5 + 4 = -1
-4 + 5 = 1
-2 + 10 = 8
-1 + 20 = 19
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored