How do you factor 10X squared minus 9X minus 202?

Answer 1

( In this explanation, SQRT(#) should be taken to mean the square root of a number, while (+/-) means plus or minus) In order to factor a quadratic expression such as this, it is necessary to use the quadratic formula. The formula is X= (-b (+/-) SQRT((b^2)-4ac))/2a, where the equation is in the for aX^2 + bX + C. So in our case, for 10X^2 - 9X -202:

a= 10

b= -9

c= -202

Plugging these number into the quadratic formula yields X= (-(-9) (+/-) SQRT(((-9)^2)-4(10)(-202)))/2(10). After some calculator work, we get X= (9 (+/-) 90.33825)/ 20. Next, split the (+/-) into two equations:

X= (9+90.33825)/20 and X= (9-90.33825)/20

Then, solve!

X= (99.33825)/20 and X= (-81.33825)/20

X= (99.33825)/20 and X= (-81.33825)/20

X= 4.9669 and X= -4.0669