2x/3x+5/4=3
![\frac{2x}{3x} + \frac{5}{4} = 3 \frac{2x}{3x} + \frac{5}{4} = 3](https://tex.z-dn.net/?f=+%5Cfrac%7B2x%7D%7B3x%7D+%2B++%5Cfrac%7B5%7D%7B4%7D++%3D+3)
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Answers
Answer:
How to Solve a Quadratic Equation Using the Quadratic Formula
Solve 2{x}^{2}+9x-5=0 by using the Quadratic Formula.
Solution
The image shows the steps to solve the quadratic equation two x squared plus nine x minus five equals zero. Step one is to write the quadratic equation in standard form and identify the a, b, and c values. This equation is already in standard for. The value of a is two, the value of b is nine and the value of c is negative five.Step two is to write the quadratic formula. Then substitute in the values of a, b, and c. Substitute two for a, nine for b and negative five for c in the formula x equals the quantity negative b plus or minus the square root of b squared minus four times a times c divided by two times a. The formula becomes x equals negative nine plus or minus the square root of negative nine squared minus four time two times negative five all divided by two times two.Step three is to simplify the formula. Squaring negative nine and performing the multiplication to get negative nine plus or minus the square root of 81 minus negative 40 all divided by four. This simplifies further to negative nine plus or minus the square root of 121 all divided by four which reduces to negative nine plus or minus 11 all divided by four. Negative nine plus 11 divided by four is two fourths which reduces to one half. Negative nine minus 11 divided by four is negative 20 fourths which reduces to negative five.Step four is to check the solutions by putting each answer in the original equation to check. Replace x in two x squared plus nine x minus five equals zero with one half to get two times one half squared plus nine times one half minus five. Simplify to get one half plus nine halves minus five which is zero. Replace x in two x squared plus nine x minus five equals zero with negative five to get two times negative five squared plus nine times negative five minus five. Simplify to get 50 minus 45 minus five which is zero.
Step-by-step explanation:
Question
take x in common.
And this equals to,
Now do lcm
•°• X= 92