Let's solve your equation step-by-step.x2−5x=−94Step 1: Simplify both sides of the equation.x2−5x=−94Step 2: Subtract (-9)/4 from both sides.x2−5x−−94=−94−−94x2−5x+94=0Step 3: Use quadratic formula with a=1, b=-5, c=2.25.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(1)(2.25)2(1)x=5±162x=9/2 or x=1/2Answer:x=9/2 or x=1/2