What is 6x^2-7x+k(x)=0 ?

The solution to 6x^2-7x+k(x)=0 is Parabola with (h,k)=(7/12 , 49/24),p=-1/24

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6x^2-7x+k(x)=0

6 x^{2} - 7 x + k (x) = 0

(h, k) = (\frac{7}{12}, \frac{49}{24}), p = - \frac{1}{24}

Solution steps

6 x^{2} - 7 x + y = 0

Rewrite

6 x^{2} - 7 x + y = 0

in the standard form

4 (- \frac{1}{24}) (y - \frac{49}{24}) = (x - \frac{7}{12})^{2}

Therefore parabola properties are:

(h, k) = (\frac{7}{12}, \frac{49}{24}), p = - \frac{1}{24}

3 f (x) = x^{2}

y^{2} + x + 10 y + 22 = 0

x^{2} + 3 y = - 2

y = f (x) a x + b

x^{2} + 8 y + 16 = 0

What is 6x^2-7x+k(x)=0 ?
The solution to 6x^2-7x+k(x)=0 is Parabola with (h,k)=(7/12 , 49/24),p=-1/24