$MathMaster logo$

MathMaster

Home
general
2x 2 9x 2 0

Question

2x ^2 - 9x - 2 = 0

237

likes

1183 views

Answer to a math question 2x ^2 - 9x - 2 = 0

$Expert avatar$

4.9

92 Answers

$2x^{2}-9x-2=0$

$x=\frac{-\left(-9\right)±\sqrt{\left(-9\right)^{2}-4\times 2\left(-2\right)}}{2\times 2}$

$x=\frac{-\left(-9\right)±\sqrt{81-4\times 2\left(-2\right)}}{2\times 2}$

$x=\frac{-\left(-9\right)±\sqrt{81-8\left(-2\right)}}{2\times 2}$

$x=\frac{-\left(-9\right)±\sqrt{81+16}}{2\times 2}$

$x=\frac{-\left(-9\right)±\sqrt{97}}{2\times 2}$

$x=\frac{9±\sqrt{97}}{2\times 2}$

$x=\frac{9±\sqrt{97}}{4}$

$x=\frac{\sqrt{97}+9}{4}$

$x=\frac{9-\sqrt{97}}{4}$

$x=\frac{\sqrt{97}+9}{4},\frac{9-\sqrt{97}}{4}$

Frequently asked questions (FAQs)

What is the unit vector represented by the component form (2, -3, 4)?

+

What is the median of a dataset with 7 values if the 4th value is 19 and the 6th value is 24?

+

What is the graph of the logarithmic function y = log(x) - log(2) - log(3) - log(5)?

+

New questions in Mathematics

a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?

A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2

An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.

2x-4y=-6; -4y+4y=-8

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.

suppose random variable x follows poisson distribution with expected value 3. what is variance of x?

Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.

A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?

(X+2)(x+3)=4x+18

9/14 x 7/27 carry out indicated operation

Find the zero of the linear function 8x + 24 = 0

1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?

Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms

a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?

write in set builder notation { 1,3,9,27,81,243,...}

Define excel and why we use it?

A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?