What are the solutions to $$ - x ^ { 2 } + 4 x - 15 = 0 $$ ? A. $$ 4 \pm 2 i \sqrt { 11 } $$ B. $$ 2 \pm 2 i \sqrt { 11 } $$ C. $$ 4 \pm i \sqrt { 11 } $$ D. $$ 2 \pm i \sqrt { 11 } $$

Question

What are the solutions to $$ - x ^ { 2 } + 4 x - 15 = 0 $$ ? A. $$ 4 \pm 2 i \sqrt { 11 } $$ B. $$ 2 \pm 2 i \sqrt { 11 } $$ C. $$ 4 \pm i \sqrt { 11 } $$ D. $$ 2 \pm i \sqrt { 11 } $$

Norris Huang · Accepted Answer

Solve using the PQ formula$$x_ { 1} = 2- \sqrt { 11} i,x_ { 2} = 2+ \sqrt { 11} i$$Multiply both sides$$x^ { 2} - 4x+ 15= 0$$   Solve using the quadratic formula$$x= \frac { 4\pm \sqrt { \left ( - 4ight ) ^ { 2} - 4	imes 15} } { 2} $$   Simplify the expression$$x= \frac { 4\pm \sqrt { - 44} } { 2} $$   The expression is undefined$$x 
otin \mathbb { R} $$   Alternative Form$$	extrm { No real solution} $$

What are the solutions to \( - x ^ { 2 } + 4 x - 15 = 0 \) ? A. \( 4 \pm 2 i \sqrt { 11 } \) B. \( 2 \pm 2 i \sqrt { 11 } \) C. \( 4 \pm i \sqrt { 11 } \) D. \( 2 \pm i \sqrt { 11 } \)

Real Tutor Solution

Quick Answer

What are the solutions to \( - x ^ { 2 } + 4 x - 15 = 0 \) ? A. \( 4 \pm 2 i \sqrt { 11 } \) B. \( 2 \pm 2 i \sqrt { 11 } \) C. \( 4 \pm i \sqrt { 11 } \) D. \( 2 \pm i \sqrt { 11 } \)

Real Tutor Solution

Quick Answer

Related Questions