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Mathematics

Grade-11

Easy

Question

Solve the quadratic equation below using the Square Root Method.
$7 open parentheses negative x squared plus 1 close parentheses plus 6 open parentheses x squared minus 1 close parentheses equals negative 17$

$3 \sqrt{2}$
$2 \sqrt{3}$
$- 2 \sqrt{3}$
$- 3 \sqrt{2}$

The correct answers are: $3 square root of 2$ , $negative 3 square root of 2$

$7 open parentheses negative x squared plus 1 close parentheses plus 6 open parentheses x squared minus 1 close parentheses equals negative 17$
$negative 7 x squared plus 7 plus 6 x squared minus 6 equals negative 17$
$space minus x squared plus 1 equals negative 17$
$negative x squared plus 1 minus 1 equals negative 17 minus 1$
Don't forget the
hiding by x $rightwards arrow$ $negative x squared equals negative 18$
$fraction numerator negative up diagonal strike 1 x squared over denominator negative up diagonal strike 1 end fraction equals fraction numerator negative 18 over denominator negative 1 end fraction$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared equals 18 end cell row blank end table$
$square root of x squared end root equals plus-or-minus square root of 18$
$x equals plus-or-minus 3 square root of 2$
$x equals 3 square root of 2 text or end text minus 3 square root of 2$

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