Q. Write the quadratic equation in standard form:−x2−6=−6xAnswer:
Add 6x to both sides: First, add 6x to both sides of the equation to move the term involving x to the left side.−x2−6+6x=−6x+6xThis simplifies to:−x2+6x−6=0
Multiply by −1: Now, we have the quadratic equation in standard form. However, it is customary to write the x2 term as positive. To do this, we can multiply the entire equation by −1.Multiplying by −1, we get:(−1)(−x2+6x−6)=(−1)(0)This simplifies to:x2−6x+6=0
Final standard form: We have now successfully written the quadratic equation in standard form. The final standard form of the quadratic equation is x2−6x+6=0.
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