How do i find the square root of a number that is not a perfect square?
1 answer:
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Answer:
Step-by-step explanation:
The graph you see there is called a parabola. The general equation for the graph is as below
To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.
To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!
Awesome, we've found both values. And we can write the result.
I'll include a plotted graph with our equation just so you can verify it is indeed the same.
Answer:
x = ±
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ± ← exact solutions