What are the solutions to the equation completesquare x^2-6/7 x+2 ?

The solutions to the equation completesquare x^2-6/7 x+2 are (x-3/7)^2+89/49

Find the zeros of completesquare x^2-6/7 x+2

The zeros of completesquare x^2-6/7 x+2 are (x-3/7)^2+89/49

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complete the square

x^{2} - \frac{6}{7} x + 2

(x - \frac{3}{7})^{2} + \frac{89}{49}

Solution steps

x^{2} - \frac{6}{7} x + 2

Write in the standard form

a x^{2} + b x + c

x^{2} - \frac{6 x}{7} + 2

Write

x^{2} - \frac{6 x}{7} + 2

in the form:

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

2 a = - \frac{6}{7} : a = - \frac{3}{7}

Add and subtract

(- \frac{3}{7})^{2}

x^{2} - \frac{6 x}{7} + 2 + (- \frac{3}{7})^{2} - (- \frac{3}{7})^{2}

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

x^{2} - \frac{6}{7} x + (- \frac{3}{7})^{2} = (x - \frac{3}{7})^{2}

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

Simplify

(x - \frac{3}{7})^{2} + \frac{89}{49}

x, x^{2} - 2 x y + 3 y^{2} = 4

y^{2} - 2 y = 15

x^{2} + 4 x - 21 = 0

0 = (x - 2) (x + 4)

2 x^{2} + 24 x + 70 = 0

What are the solutions to the equation completesquare x^2-6/7 x+2 ?
The solutions to the equation completesquare x^2-6/7 x+2 are (x-3/7)^2+89/49
Find the zeros of completesquare x^2-6/7 x+2
The zeros of completesquare x^2-6/7 x+2 are (x-3/7)^2+89/49