Convert the expression x 2 −10x−1 to power form.
Question
Convert the expression x 2 −10x−1 to power form.
🧐 Not the exact question you are looking for?Go ask a question
Solution
The given expression is in quadratic form (ax^2 + bx + c). To convert it to power form, we need to complete the square. Here are the steps:
- Rearrange the equation: x^2 - 10x = 1
- Take half of the coefficient of x, square it and add it to both sides of the equation. Half of -10 is -5, and -5 squared is 25. So, we add 25 to both sides: x^2 - 10x + 25 = 1 + 25
- Simplify the equation: (x - 5)^2 = 26
- So, the power form of the given expression is (x - 5)^2 = 26.
Similar Questions
Convert the expression x 2 −6x+11 to power form.
Factorise the expression x 2 −10x−1
Convert the expression x 2 +4x+5 to power form.
Which one of the following is the correct power form of the expression 2x 2 −2x+2 ?
Expand the expression to a polynomial in standard form:left bracket, 2, x, minus, 1, right bracket, left bracket, 3, x, squared, minus, 10, x, minus, 3, right bracket(2x−1)(3x 2 −10x−3)
1/3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.