How do you solve #7z^2=70z-147#?
See a solution process belowL
First, write this equation in standard form by subtracting
Next, divide each side of the equation by
Then we can factor the right side of the equation as:
Now, solve each term on the right side of the equation for
**The Solutions Are:
We could also use the quadratic formula to solve this problem. The quadratic formula states:
z = - 3 and z = -7
Divide both sides by 7
Solve this quadratic equation by the new Transforming Method (Socratic, Google Search), when a = 1.
Find 2 real roots knowing the sum (-b = 10) and the product (c = 21).
They are: (-3) and (-7)
Here's how to solve this problem rapidly in four easy steps.
Step 1) Divide all the terms on both sides by 7
Step 2) Set the equation equal to 0.
Step 3) Factor
Step 4) Set each factor equal to 0 and solve for
Don't write this step out if you can just predict the answers by looking at the factors
Just write down the answers and skip this step if you can.
Here's how to find the answers if you can't tell what they will be just by looking at
Set each factor equal to 0 and solve for
Sub each answer into the original equation to make sure it is still an equality,
Sub in 3 in the place of