If the mass of a metal bar which is 3.25m long is 15 kg,find its mass per metre.

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

Given cos A=<br> 3<br> ―<br> 10<br> and tan A <0, find sin A.

QveST [7]

First we are going to start by subtracting 3-10 and that gives us 7 so then you divide 7 by 4”3 and you get 2.3

7 0

1 year ago

A computer is 1.05 centimeters thick. What is the decimal form percent form and fraction form

frosja888 [35]

Answer:

105% and 1 5/100

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Between what two integer powers of 2 does 2√7 lie?

prisoha [69]

Answer:

Between 5 and 6

Step-by-step explanation:

Integers refer to positive whole numbers.

Firstly, we need to know the value of the surd

By calculating, the value of the surd is 5.29

What this mean is that the surd is between the values of 5 and 6

It is slightly greater than 5 and not up to 6

5 0

3 years ago

Solve 5t= 150 by using an inverse operation

Taya2010 [7]

Answer:

T=30

Step-by-step explanation:

1) inverse mean opposite, so they want us to solve this equation using the opposite operation

So we can see here that 5 is being multiplied with t, so we should perform the opposite operation, division.

So

5t=150

(divide both sides by 5)

T=30

Hope this helps

5 0

3 years ago