Algebra QUADRATIC EQUATIONSStep 2. Using the division axiom, divide both sides of the equation by 4.4x241004x2= 25Step 3. Take the square root of both sides of the equation.x2= 25x = +_5Thus, the roots are x = +5 and x = -5.Step 4. Check the roots.3x2= 100 - x23(±5)2 = 100 - (±5)23(25) = 100 - 2575 = 75If a pure quadratic equation is written in general form, a general expression can be written forits roots. The general form of a pure quadratic is the following.ax2+ c = 0 (2-2)Using the subtraction axiom, subtract c from both sides of the equation.ax2= -cUsing the division axiom, divide both sides of the equation by a.x2= -caRev. 0 Page 19 MA-02
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