IS 9X-3= 2 AND 8X-2=X2 A QUADRATIC EQUATION IF IT IS HOW ??
Answers
Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
((0 - 23x2) + 9x) - 3 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2 + 9x - 3 = -1 • (8x2 - 9x + 3)
Trying to factor by splitting the middle term
3.2 Factoring 8x2 - 9x + 3
The first term is, 8x2 its coefficient is 8 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 8 • 3 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -9 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
3
:
-8x2 + 9x - 3 = 0
STEP
Answer:
9x=3+2and8x+2x=2
9x=5 and 10x=2
x=9/5 and x=10/2
x=9/5andx=5
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