What are the solutions to the equation completesquare 3x^2+24x+50 ?

The solutions to the equation completesquare 3x^2+24x+50 are 3(x+4)^2+2

Find the zeros of completesquare 3x^2+24x+50

The zeros of completesquare 3x^2+24x+50 are 3(x+4)^2+2

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complete the square

3 x^{2} + 24 x + 50

3 (x + 4)^{2} + 2

Solution steps

3 x^{2} + 24 x + 50

Write

3 x^{2} + 24 x + 50

in the form:

x^{2} + 2 a x + a^{2}

Factor out

3

3 (x^{2} + 8 x + \frac{50}{3})

2 a = 8 : a = 4

Add and subtract

4^{2}

3 (x^{2} + 8 x + \frac{50}{3} + 4^{2} - 4^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

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

3 ((x + 4)^{2} + \frac{50}{3} - 4^{2})

Simplify

3 (x + 4)^{2} + 2

x, f = x^{2} - 4 y

3 x^{2} + 15 x + 12 = 0

4 x^{2} - 24 x + 39 = 0

x, z = x^{2} + y^{2} - 10 x - 2 y + 36

2 0^{2} + 2 5^{2} = x^{2}

What are the solutions to the equation completesquare 3x^2+24x+50 ?
The solutions to the equation completesquare 3x^2+24x+50 are 3(x+4)^2+2
Find the zeros of completesquare 3x^2+24x+50
The zeros of completesquare 3x^2+24x+50 are 3(x+4)^2+2