Effective Solutions for Quadratic Equations
Learn various methods such as factoring, completing the square, and using the quadratic formula to solve quadratic equations easily and efficiently. Understand when each method is most suitable.
Effective Solutions for Quadratic Equations
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Presentation Transcript
EXAMPLE 4 Choose a solution method Tell what method you would use to solve the quadratic equation. Explain your choice(s). a. 10x2 – 7 = 0 SOLUTION a. The quadratic equation can be solved using square roots because the equation can be written in the form x2=d.
EXAMPLE 4 Choose a solution method Tell what method you would use to solve the quadratic equation. Explain your choice(s). b.x2 + 4x = 0 SOLUTION b. The equation can be solved by factoring because the expression x2+4x can be factored easily. Also, the equation can be solved by completing the square because the equation is of the form ax2+bx+c=0 where a=1 and b is an even number.
EXAMPLE 4 Choose a solution method Tell what method you would use to solve the quadratic equation. Explain your choice(s). c. 5x2 + 9x – 4 = 0 SOLUTION c. The quadratic equation cannot be factored easily, and completing the square will result in many fractions. So, the equation can be solved using the quadratic formula.
for Example 4 GUIDED PRACTICE Tell what method you would use to solve the quadratic equation. Explain your choice(s). 5. x2 + x – 6 = 0 SOLUTION Factoring because the expression factors easily.
for Example 4 GUIDED PRACTICE Tell what method you would use to solve the quadratic equation. Explain your choice(s). 6. x2 – 9 = 0 SOLUTION Factoring because the expression factors easily. Using square roots is another option since the equation can be written in the formx2 = d.
for Example 4 GUIDED PRACTICE Tell what method you would use to solve the quadratic equation. Explain your choice(s). 7. x2 + 6x = 5 SOLUTION Completing the square because the equation is of the form ax2 + bx = c where a = 1 and b is an even number. Another method is the quadratic formula since the equation does not factor easily.
