Respuesta :

Equations are statements that have equal values, when compared

The true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11

How to determine the true statement

The equation is given as:

[tex]x^2 + 10x = 11[/tex]

Rewrite as:

[tex]x^2 + 10x - 11 = 0[/tex]

Expand

[tex]x^2 + 11x - x - 11 = 0[/tex]

Factorize

[tex]x(x + 11) -1( x + 11) = 0[/tex]

Factor out x + 11

[tex](x -1)(x + 11) = 0[/tex]

Solve for x

x = 1 or x = -11

Hence, the true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11

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