What is the answer to solvefor a,l= p/4+1/4*sqrt(p^2-16a) ?

The answer to solvefor a,l= p/4+1/4*sqrt(p^2-16a) is a=-(l(-p+2l))/2

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solvefor a,l= p/4+1/4*sqrt(p^2-16a)

solve for

a, l = \frac{p}{4} + \frac{1}{4} \cdot p^{2} - 16 a

a = - \frac{l ( - p + 2 l )}{2}

Solution steps

l = \frac{p}{4} + \frac{1}{4} p^{2} - 16 a

Multiply both sides by

4

l \cdot 4 = \frac{p}{4} \cdot 4 + \frac{1}{4} p^{2} - 16 a \cdot 4

Simplify

l \cdot 4 = p + p^{2} - 16 a

Switch sides

p + p^{2} - 16 a = l \cdot 4

Move

p

to the right side

p^{2} - 16 a = l \cdot 4 - p

Square both sides:

p^{2} - 16 a = 16 l^{2} - 8 lp + p^{2}

p^{2} - 16 a = 16 l^{2} - 8 lp + p^{2}

Solve

p^{2} - 16 a = 16 l^{2} - 8 lp + p^{2} : a = - \frac{l ( - p + 2 l )}{2}

a = - \frac{l ( - p + 2 l )}{2}

\frac{x ^{2}}{5 - 3 x ^{\frac{1}{5}} + 2} = 0

(8 - 4 x)^{2} = 2

(2 x - 1)^{\frac{1}{3}} - 3 = 0

3 x - 1 - 2 8 - 2 x = 0

x^{l o g_{10} (\frac{7}{2})} = \frac{7}{2}

What is the answer to solvefor a,l= p/4+1/4*sqrt(p^2-16a) ?
The answer to solvefor a,l= p/4+1/4*sqrt(p^2-16a) is a=-(l(-p+2l))/2