What are the solutions to the equation completesquare-7x^2-21x-5 ?

The solutions to the equation completesquare-7x^2-21x-5 are -7(x+3/2)^2+43/4

Find the zeros of completesquare-7x^2-21x-5

The zeros of completesquare-7x^2-21x-5 are -7(x+3/2)^2+43/4

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complete the square

- 7 x^{2} - 21 x - 5

- 7 (x + \frac{3}{2})^{2} + \frac{43}{4}

Solution steps

- 7 x^{2} - 21 x - 5

Write

- 7 x^{2} - 21 x - 5

in the form:

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

Factor out

- 7

- 7 (x^{2} + 3 x + \frac{5}{7})

2 a = 3 : a = \frac{3}{2}

Add and subtract

(\frac{3}{2})^{2}

- 7 (x^{2} + 3 x + \frac{5}{7} + (\frac{3}{2})^{2} - (\frac{3}{2})^{2})

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

x^{2} + 3 x + (\frac{3}{2})^{2} = (x + \frac{3}{2})^{2}

- 7 ((x + \frac{3}{2})^{2} + \frac{5}{7} - (\frac{3}{2})^{2})

Simplify

- 7 (x + \frac{3}{2})^{2} + \frac{43}{4}

3 x + 5 = 4 x^{2}

t, 2 a t^{2} - 6 a t - a + 2 t b - 3 b + 2 c = t^{2} + 3

2 \cdot ((0.145 - 2 x)^{2}) = (0.0262 + x) \cdot (0.074 + x)

\frac{x ^{2}}{16} - \frac{4}{49} = 0

114 x^{2} - 10 x - 4500 = 0

What are the solutions to the equation completesquare-7x^2-21x-5 ?
The solutions to the equation completesquare-7x^2-21x-5 are -7(x+3/2)^2+43/4
Find the zeros of completesquare-7x^2-21x-5
The zeros of completesquare-7x^2-21x-5 are -7(x+3/2)^2+43/4