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find all solutions to the equation 10x^2 - 7x - 6 = 0.

 

thank you!! 

 Dec 20, 2020
 #1
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Use quadratic equation: a=10, b=-7, c=-6, have you not learned the quadratic formula? Search it up, this problem is extremely easy, giving the answer would be funny. this is systematically solved problem

 Dec 20, 2020
 #2
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In Quadratic Formula      for  this quadratic    a = 10    b = -7     and c = -6

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)          becomes

 

 

\(x = {7 \pm \sqrt{7^2-4(10)(-6)} \over 2(10)}\)      which will give you two values of x which are the 'roots' or ' zeroes'  of the equation.....

 Dec 20, 2020
 #3
avatar+114320 
+1

The quad formula is  fine.....I always like to see if  I can factor, first, before resorting to the "Q"....

 

(5x - 6) ( 2x + 1)     =   0

 

Setting each  factor to 0  and solving  for  x produces

 

5x  - 6   = 0                      2x  +  1   =   0

 

5x   =  6                          2x  =  -1

 

x =  6/5                          x  = -1/2

 

 

cool cool cool

 Dec 20, 2020

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