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What are the solutions of this quadratic equation? x^2 – 6x= -58 Substitute the values of a and b to complete the solutions.

What Are The Solutions Of This Quadratic Equation X2 6x 58 Substitute The Values Of A And B To Complete The Solutions class=

Answer :

Let us first add 58 to both sides of the equation:

[tex]x^2-6x+58=-58+58[/tex][tex]x^2-6x+58=0[/tex]

And now let us use the quadratic formula to find x

[tex]x=\frac{6\pm\sqrt[]{36-4(1)(58)}}{2}[/tex][tex]x=3\pm14i[/tex]

Hence, the two solutions are

[tex]x=3+14i[/tex]

and

[tex]x=3-14i\text{.}[/tex]

meaning a = 3 and b = 14.

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