Solve the given equation by using the quadratic formula: 2x^2-3x-4=0

2 answers:

7 0

Let's solve your equation step-by-step.2x2−3x−4=0Step 1: Use quadratic formula with a=2, b=-3, c=-4.x=−b±√b2−4ac2ax=−(−3)±√(−3)2−4(2)(−4)2(2)x=3±√414x=34+14√41 or x=34+−14√41

lara31 [8.8K]4 years ago

4 0

Thy answer you are looking for is:

$X = \frac{3± \sqrt{41} }{4}$

You might be interested in

As the carbon content in steel increases, its ductility tends to decrease. A researcher at a steel company measures carbon conte

mixer [17]

Answer:

d. -5.666 to -0.926

Step-by-step explanation:

Here a pivotal quantity is $T = \frac{\hat{\beta_{1}}-\beta_{1}}{se(\hat{\beta_{1}})}$ where $\beta_{1}$ is the true slope of the regression equation (unknown), $\hat{\beta_{1}}$ is its least square estimate and $se(\hat{\beta_{1}})=1.097$ is its estimated standard error. And T has t-distribution with n-2=15-2=13 degrees of freedom (n is the sample size). We have that $\hat{\beta_{1}} = -3.30$ , and because we want the 95% confidence interval, we should use the 2.5th quantile of the t distribution with 13 df, this value is -2.16 and the 95% confidence intervale is given by $\hat{\beta_{1}}\pm t_{0.025}se(\hat{\beta_{1}})$ , i.e., $-3.30\pm (2.16)(1.097)$ . Therefore, the 95% confidence interval explicitly is (-5.666, -0.926)