solve given the following quadratic equation for and give your answer correct two decimal places using formula method: 5x(x+2)=3
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x*(x+2)-(3)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
5x • (x + 2) - 3 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5x2+10x-3
The first term is, 5x2 its coefficient is 5 .
The middle term is, +10x its coefficient is 10 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is 10 .
-15 + 1 = -14
-5 + 3 = -2
-3 + 5 = 2
-1 + 15 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored