solve the following quadratic equqation using the quadratic formula
-2xd^2-7x+13=0
enter both solutions together in the spacee provided using the+
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To solve the quadratic equation -2xd^2 - 7x + 13 = 0 using the quadratic formula, we will use the formula x = (-b ± sqrt(b^2 - 4ac))/(2a).
In this equation, a = -2, b = -7, and c = 13.
Plugging these values into the quadratic formula, we get:
x = (-(-7) ± sqrt((-7)^2 - 4(-2)(13))) / (2(-2))
= (7 ± sqrt(49 + 104)) / (-4)
= (7 ± sqrt(153)) / (-4)
Therefore, the solutions to the quadratic equation are:
x = (7 + sqrt(153)) / -4 and x = (7 - sqrt(153)) / -4
Written together, the solutions are:
(7 + sqrt(153)) / -4 + (7 - sqrt(153)) / -4
To solve the quadratic equation -2xd^2 - 7x + 13 = 0 using the quadratic formula, we need to find the values of x that satisfy the equation.
The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = -2, b = -7, and c = 13. Substituting these values into the quadratic formula:
x = (-(-7) ± √((-7)^2 - 4(-2)(13))) / (2(-2))
= (7 ± √(49 + 104)) / (-4)
= (7 ± √153) / (-4)
So, the solutions are:
x = (7 + √153) / -4
x = (7 - √153) / -4
Combining both solutions:
(7 + √153) / -4 + (7 - √153) / -4
To solve the given quadratic equation -2xd^2 - 7x + 13 = 0 using the quadratic formula, we first need to identify the coefficients of the equation. The quadratic formula can be expressed as:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our equation, the coefficients can be identified as follows:
a = -2, b = -7, c = 13
Now we can substitute these values into the quadratic formula and solve for x:
x = (7 ± √((-7)^2 - 4*(-2)*(13))) / (2*(-2))
Simplifying the equation further:
x = (7 ± √(49 + 104)) / (-4)
x = (7 ± √(153)) / (-4)
Now we can find the two possible solutions for x by calculating both the positive and the negative values:
x = (7 + √153) / -4 or x = (7 - √153) / -4
Combining these solutions using the + symbol, we get:
(7 + √153)/-4+(7 - √153)/-4