Mister Exam
Other calculators
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How to use it?
- Factor squared:
- x^2+x-6
- -y^4-y^2-5
- y^4-y^2+9
- -y^4+y^2-7
- Factor polynomial:
- x^3-64
- x^6+27
- x^4+x^3
- x^3+x-2
- Least common denominator:
- x^2*log(x)/2-x^2/4
- (y/(y-10))-(y^2/(y^2-100))
- exp(x)/(2*(e^x+1))-exp(x)/(2*(e^x-1))
- (x*(x-6)^2)^(1/3)*((x-6)^2/3+x*(-12+2*x)/3)/(x*(x-6)^2)
- How do you in partial fractions?:
- (a+4)*a/2+(4*a+16)/(4*a^2+a^3)
- ((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
- 1/(3*sqrt(1-x^2/9))
- ((9*b)/(a-b))*((a^2-a*b)/(45*b))
- Graphing y =:
- x^2+x-6
- Equation:
- x^2+x-6
- Integral of d{x}:
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x^2+x-6
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Identical expressions
- x^ two +x- six
- x squared plus x minus 6
- x to the power of two plus x minus six
- x2+x-6
- x²+x-6
- x to the power of 2+x-6
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Similar expressions
- x^2+x+6
- x^2-x-6
Factor x^2+x-6 squared
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} + x\right) - 6$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = 1$$
$$c = -6$$
Then
$$m = \frac{1}{2}$$
$$n = - \frac{25}{4}$$
So,
$$\left(x + \frac{1}{2}\right)^{2} - \frac{25}{4}$$
$$\left(x^{2} + x\right) - 6$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = 1$$
$$c = -6$$
Then
$$m = \frac{1}{2}$$
$$n = - \frac{25}{4}$$
So,
$$\left(x + \frac{1}{2}\right)^{2} - \frac{25}{4}$$