Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
p^{2}\times 1870-1
Simplify the expression
1870p^{2}-1
Evaluate
p^{2}\times 1870-1
Solution
1870p^{2}-1
Show Solutions
Find the roots
p_{1}=-\frac{\sqrt{1870}}{1870},p_{2}=\frac{\sqrt{1870}}{1870}
Alternative Form
p_{1}\approx -0.023125,p_{2}\approx 0.023125
Evaluate
p^{2}\times 1870-1
To find the roots of the expression,set the expression equal to 0
p^{2}\times 1870-1=0
Use the commutative property to reorder the terms
1870p^{2}-1=0
Move the constant to the right-hand side and change its sign
1870p^{2}=0+1
Removing 0 doesn't change the value,so remove it from the expression
1870p^{2}=1
Divide both sides
\frac{1870p^{2}}{1870}=\frac{1}{1870}
Divide the numbers
p^{2}=\frac{1}{1870}
Take the root of both sides of the equation and remember to use both positive and negative roots
p=\pm \sqrt{\frac{1}{1870}}
Simplify the expression
More Steps
Evaluate
\sqrt{\frac{1}{1870}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt{1}}{\sqrt{1870}}
Simplify the radical expression
\frac{1}{\sqrt{1870}}
Multiply by the Conjugate
\frac{\sqrt{1870}}{\sqrt{1870}\times \sqrt{1870}}
When a square root of an expression is multiplied by itself,the result is that expression
\frac{\sqrt{1870}}{1870}
p=\pm \frac{\sqrt{1870}}{1870}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&p=\frac{\sqrt{1870}}{1870}\\&p=-\frac{\sqrt{1870}}{1870}\end{align}
Solution
p_{1}=-\frac{\sqrt{1870}}{1870},p_{2}=\frac{\sqrt{1870}}{1870}
Alternative Form
p_{1}\approx -0.023125,p_{2}\approx 0.023125
Show Solutions
