Q. Khan AcademyQuadrSolve for x. Enter the solution2x2−24x+54=0 lesser x=□ greater x=□
Write Quadratic Equation: Write down the quadratic equation. 2x2−24x+54=0
Divide and Simplify: Step 2: Divide the whole equation by 2 to simplify. x2−12x+27=0
Factor the Equation: Step 3: Factor the quadratic equation. (x−3)(x−9)=0
Solve for x: Step 4: Set each factor equal to 0 and solve for x. x−3=0 or x−9=0x=3 or x=9
Check Solutions: Step 5: Check the solutions by plugging them back into the original equation. For x=3: 2(3)2−24(3)+54=018−72+54=00=0 (True) For x=9: 2(9)2−24(9)+54=0162−216+54=00=0 (True)
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