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whadduptori Group Title

Use the quadratic formula to solve the equation? 4x2 – 6x – 10 = 0 is anybody able to show me work?

  • 2 years ago
  • 2 years ago

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  1. Rezz5 Group Title
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    the quadratic formula is -b (±)Sqrt[b-4ac]/2a\[-b \pm \frac{ \sqrt{b-4ac}}{ 2a}\]

    • 2 years ago
  2. Rezz5 Group Title
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    where ax^2 +bx +c just substitute and you will get your answer.

    • 2 years ago
  3. jim_thompson5910 Group Title
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    \[\Large x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\] \[\Large x = \frac{-(-6)\pm\sqrt{(-6)^2-4(4)(-10)}}{2(4)}\] \[\Large x = \frac{6\pm\sqrt{36-(-160)}}{8}\] I'll let you finish.

    • 2 years ago
  4. whadduptori Group Title
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    I have all that work! I just get confused with the last part? like would i subtract 36-(-160)

    • 2 years ago
  5. Rezz5 Group Title
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    36--160? well double negative is positive, so? 36+160

    • 2 years ago
  6. jim_thompson5910 Group Title
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    36-(-160) is the same as 36+160

    • 2 years ago
  7. whadduptori Group Title
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    so it would become 196?

    • 2 years ago
  8. jim_thompson5910 Group Title
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    it would

    • 2 years ago
  9. whadduptori Group Title
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    |dw:1352933217966:dw|

    • 2 years ago
  10. whadduptori Group Title
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    so would that be the answer?

    • 2 years ago
  11. jim_thompson5910 Group Title
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    you can keep going and there's a +- between the 6 and square root

    • 2 years ago
  12. jim_thompson5910 Group Title
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    you should have \[\Large x = \frac{6\pm\sqrt{196}}{8}\] but you can keep going

    • 2 years ago
  13. Rezz5 Group Title
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    (6*14)/8 =(3*14)/4 =(3*7)/2 =21/2

    • 2 years ago
  14. whadduptori Group Title
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    yes i have that!

    • 2 years ago
  15. Rezz5 Group Title
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    okay, what is wrong?

    • 2 years ago
  16. whadduptori Group Title
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    wait where did you get the 6*14/8

    • 2 years ago
  17. jim_thompson5910 Group Title
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    the square root of 196 is 14, so... \[\Large x = \frac{6\pm\sqrt{196}}{8}\] becomes \[\Large x = \frac{6\pm14}{8}\]

    • 2 years ago
  18. Rezz5 Group Title
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    above is very clear and correct, so first you do the plus sign which is (6+14)/8 this is ONE OF YOUR x's the you do (6-14)/8 this is your other x value so your x values are: 5/2 and -1

    • 2 years ago
  19. whadduptori Group Title
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    THank you so much! I didnt know how to find that! but you just made it clear for me! thank you both for your help! (:

    • 2 years ago
  20. Rezz5 Group Title
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    your most welcome,

    • 2 years ago
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