Determine the $x$-intercept(s) of the quadratic function $f ( x ) = x ^ { 2 } - 12 x + 37$.
A) $( 1,0 ) , ( 9,0 )$
B) $( 6,0 ) , ( 15,0 )$
C) $( 8,0 ) , ( 3,0 )$
D) $( 1,0 ) , ( 3,0 )$
E) no $x$-intercept(s)

Question

Quizplus · Accepted Answer

The discriminant of the quadratic $x^2 - 12x + 37$ is negative ($12^2 - 4 \times 1 \times 37 = 144 - 148 = -4$), indicating no real roots, hence no $x$-intercepts.

Determine The xxx -Intercept(s) of the Quadratic Function f(x)=x2−12x+37f ( x ) = x ^ { 2 } - 12 x + 37f(x)=x2−12x+37

Determine The $x$ -Intercept(s) of the Quadratic Function $f ( x ) = x ^ { 2 } - 12 x + 37$