Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-7*x+10=0
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Equation x^2-18=7*x
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Equation x^2+9=0
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Equation -7x=4
- Express {x} in terms of y where:
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- The double integral of:
- (y+1)^2
-
Identical expressions
- (y+ one)^ two
- (y plus 1) squared
- (y plus one) to the power of two
- (y+1)2
- y+12
- (y+1)²
- (y+1) to the power of 2
- y+1^2
-
Similar expressions
- (y-1)^2
(y+1)^2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Expand the expression in the equation
$$\left(y + 1\right)^{2} = 0$$
We get the quadratic equation
$$y^{2} + 2 y + 1 = 0$$
This equation is of the form
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 2$$
$$c = 1$$
, then
Because D = 0, then the equation has one root.
$$y_{1} = -1$$
$$\left(y + 1\right)^{2} = 0$$
We get the quadratic equation
$$y^{2} + 2 y + 1 = 0$$
This equation is of the form
a*y^2 + b*y + c = 0
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 2$$
$$c = 1$$
, then
D = b^2 - 4 * a * c =
(2)^2 - 4 * (1) * (1) = 0
Because D = 0, then the equation has one root.
y = -b/2a = -2/2/(1)
$$y_{1} = -1$$