Excercise 5E
2×2 + 3ix + 2 = 0
x2 + 3ix + 10 = 0
x2 + 13 = 4x
21×2 – 28x + 10 = 0
3×2 + 7ix +6 = 0
solve the quadratic equation
3×2 + 5 = 7x
17×2 – 8x + 1 = 0
solve the quadratic equation
27×2 + 10x + 1 = 0
8×2 + 2x + 1 = 0
25×2 – 30x + 11 = 0
solve the equation
x2 + 3x + 5 = 0
2×2 – 4x + 3 = 0
x2 + 2x + 2 = 0
x2 – x + 2 = 0
x2 + x + 1 = 0
2×2 + 1 = 0
x2 + 5 = 0
x2 + 2 = 0
Answer : This equation is a quadratic equation. Solution of a general quadratic equation ax2 + bx + c = 0 is given by: Given: ⇒x2 + 2 = 0 ⇒x2 = -2 ⇒x = ± √ (-2) But we know that √ (-1) = i ⇒ x = ±√2...
Using elementary row transformations, find the inverse of each of the following matrices: ![\left[\begin{array}{ccc} 1 & 3 & -2 \\ -3 & 0 & -1 \\ 2 & 1 & 0 \end{array}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a91ce5cbcf073815176a56b34ba47bd9_l3.png "Rendered by QuickLaTeX.com")
Solution: We have $A=\left(\begin{array}{ccc}1 & 3 & -2 \\ -3 & 0 & -1 \\ 2 & 1 & 0\end{array}\right)$ To get the inverse we will proceed by augmented matrix with elementary...
Using elementary row transformations, find the inverse of each of the following matrices: ![\left[\begin{array}{cc} 1 & 2 \\ 2 & -1 \end{array}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-918a8e2a33fbf14a8141e6d365aa3df9_l3.png "Rendered by QuickLaTeX.com")
Solution: We have $A=\left(\begin{array}{cc}1 & 2 \\ 2 & -1\end{array}\right)$ To get the inverse we will proceed by augmented matrix with elementary row transformation process is as follow:...