Could someone please check these-I had tried one last night but it was really wrong so I'm been working-hopefully these are correct.
What are the roots of the equation and answers have to be simplified
2x^2 + 5x-10 =0
2x^2 + 5x-10+10=0+10
2x^2 + 5x = 10
2x^2 + 5x/2 = 10/2
2x^2/2 + 5x/2 = 5
x^2 + 5/2x = 5
(5/2 * 1/2)^2 = 5/4^2
x^2 + 5/2x + (5/4)^2 = 5 + (5/4)^2
(x+5/4)^2 = 105/16
x + 5/4 = +minus sqrt 105/16 = sqrt 3^1 * 5^1*7^1 = sqrt 105/4
x= -5/4 + sqrt105/4 or x= -5/4 - sqrt 105/4 Is this correct and simplified thank you
In google type:
quadratic equation online
When you see list of results click on:
Free Online Quadratic Equation Solver:Solve by Quadratic Formula
When page be open in rectangle type:
2x^2 + 5x = 10
and click option:
solve it!
You wil see solution step-by-step.
To check if the roots you have found for the equation 2x^2 + 5x - 10 = 0 are correct, we can use the quadratic formula.
The quadratic formula states that for any quadratic equation in the form ax^2 + bx + c = 0, the solutions (or roots) can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In your case, a = 2, b = 5, and c = -10.
Let's substitute these values into the quadratic formula:
x = (-5 ± √(5^2 - 4 * 2 * -10)) / (2 * 2)
x = (-5 ± √(25 + 80)) / 4
x = (-5 ± √105) / 4
So, the roots of the equation are:
x = (-5 + √105) / 4
x = (-5 - √105) / 4
Your roots, -5/4 + sqrt105/4 and -5/4 - sqrt105/4, are correct and simplified.