Question

Which statement about x2 + 10x = 11 is true?

Answer 1

Equations are statements that have equal values, when compared

The true statement about $x^2 + 10x = 11$ are x = 1 and x = -11

How to determine the true statement

The equation is given as:

$x^2 + 10x = 11$

Rewrite as:

$x^2 + 10x - 11 = 0$

Expand

$x^2 + 11x - x - 11 = 0$

Factorize

$x(x + 11) -1( x + 11) = 0$

Factor out x + 11

$(x -1)(x + 11) = 0$

Solve for x

x = 1 or x = -11

Hence, the true statement about $x^2 + 10x = 11$ are x = 1 and x = -11

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