solve 6p square-2pqx-2q square =0
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Answers
6p2-7p-2=0
Two solutions were found :
p =(7-√97)/12=-0.237
p =(7+√97)/12= 1.404
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((2•3p2) - 7p) - 2 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 6p2-7p-2
The first term is, 6p2 its coefficient is 6 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -7 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1
-3 + 4 = 1
-2 + 6 = 4
-1 + 12 = 11
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 2 :
6p2 - 7p - 2 = 0