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I don't pay for GPT4, but here's Claude falling on its face: Q: Provide the quadratic roots of the following equation. Work out the answer step by step. 21 -
by earthboundkid 3y ago
I don't pay for GPT4, but here's Claude falling on its face:
Q:
Provide the quadratic roots of the following equation. Work out the answer step by step.
21 - 135 x + 19 x^2 = 0
A:
Okay, here are the step-by-step workings:
1) Start with the quadratic equation:
21 - 135x + 19x^2 = 0
2) Group the x^2 and x terms together:
19x^2 - 135x + 21 = 0
3) Use the quadratic formula to find the roots:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Where:
a = 19
b = -135
c = 21
4) Substitute the values into the formula:
x = (-(-135) ± sqrt((-135)^2 - 4(19)(21))) / 2(19)
5) Simplify:
x = (135 ± sqrt(18225 - 1596)) / 38
6) Evaluate the square root:
x = (135 ± 135) / 38
7) The two roots are:
x = 5
x = 3
Therefore, the roots of the quadratic equation 21 - 135x + 19x^2 = 0 are x = 5 and x = 3.