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Algebra

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Find the positive difference between the solutions to the equation 6t^2 + 30 = 47t.

Sep 16, 2021

#1
+36416
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6t^2 -47t+30 = 0

Use quadratic Formula    to find the roots        a = 6        b = -47         c = 30

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

Sep 17, 2021
#2
+2401
+1

Yep, you could also first subtract the quadratic solutions, from the quadratic equation. :))

(-b+sqrt(b^2 - 4ac))/2a - (-b-sqrt(b^2 - 4ac))/2a

sqrt(b^2 - 4ac)/a

Remember that we're looking for the positive difference.

=^._.^=

catmg  Sep 17, 2021