anonymous
  • anonymous
Solve equation using both factoring and the quadratic formula 6x^2-13x-5=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
plug it into the quadratic formula and check on mathway if its right
anonymous
  • anonymous
How about the factoring formula?
jchick
  • jchick
Sorry this took so long to type but here you go Trying to factor by splitting the middle term 2.1 Factoring 6x2-13x-5 The first term is, 6x2 its coefficient is 6 . The middle term is, -13x its coefficient is -13 . The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 6 • -5 = -30 Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -13 . -30 + 1 = -29 -15 + 2 = -13 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 2 6x2 - 15x + 2x - 5 Step-4 : Add up the first 2 terms, pulling out like factors : 3x • (2x-5) Add up the last 2 terms, pulling out common factors : 1 • (2x-5) Step-5 : Add up the four terms of step 4 : (3x+1) • (2x-5) Which is the desired factorization

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jchick
  • jchick
There are two possible solutions to this problem x = -1/3 = -0.333 and x = 5/2 = 2.500
jchick
  • jchick
Solve Quadratic Equation using the Quadratic Formula 4.3 Solving 6x2-13x-5 = 0 by the Quadratic Formula . According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by : - B ± √ B2-4AC x = ———————— 2A In our case, A = 6 B = -13 C = -5 Accordingly, B2 - 4AC = 169 - (-120) = 289 Applying the quadratic formula : 13 ± √ 289 x = —————— 12 Can √ 289 be simplified ? Yes! The prime factorization of 289 is 17•17 To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root). √ 289 = √ 17•17 = ± 17 • √ 1 = ± 17 So now we are looking at: x = ( 13 ± 17) / 12 Two real solutions: x =(13+√289)/12=(13+17)/12= 2.500 or: x =(13-√289)/12=(13-17)/12= -0.333
anonymous
  • anonymous
Thank you so much I understand it now :)
jchick
  • jchick
Awesome!
jchick
  • jchick
Sorry it took so long to type
jchick
  • jchick
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anonymous
  • anonymous
Okay got you thanks

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