To deal with the equation, variable x^2+14x+49 utilizing formula x^2+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right). To find a and also b, collection up a device to it is in solved.

You are watching: X^2-14x+49


Since abdominal is positive, a and b have actually the same sign. Since a+b is positive, a and also b room both positive. List all together integer bag that give product 49.
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x2+14x+49=0 One equipment was discovered : x = -7 action by action solution : action 1 :Trying to element by splitting the center term 1.1 Factoring x2+14x+49 The first term is, x2 ...
\displaystylex^2+14x+49=19has the two solutions\displaystylex=-7\pm\sqrt19 (i.e.\displaystylex_1=-7-\sqrt19and\displaystylex_2=-7+\sqrt19 ...
x2+14x+44=0 Two remedies were discovered : x =(-14-√20)/2=-7-√ 5 = -9.236 x =(-14+√20)/2=-7+√ 5 = -4.764 step by step solution : step 1 :Trying to factor by dividing the middle term ...
x2+14x+45=0 Two services were found : x = -5 x = -9 step by action solution : step 1 :Trying to factor by separating the center term 1.1 Factoring x2+14x+45 The an initial term is, x2 the ...
x2+14x+47=0 Two services were discovered : x =(-14-√8)/2=-7-√ 2 = -8.414 x =(-14+√8)/2=-7+√ 2 = -5.586 action by step solution : action 1 :Trying to factor by dividing the middle term ...
x2+14x+49>0 One systems was found : (x)2 > -7 step by step solution : action 1 :Trying to aspect by separating the center term 1.1 Factoring x2+14x+49 The an initial term is, ...
0 One solution was uncovered : (x)2 > -7 action by action solution : step 1 :Trying to variable by splitting the middle term 1.1 Factoring x2+14x+49 The first term is, ..." role="text" class="MathExpression_mathExpression__22QI1 ">
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To deal with the equation, element x^2+14x+49 utilizing formula x^2+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right). To discover a and also b, collection up a system to be solved.
Since ab is positive, a and b have the very same sign. Due to the fact that a+b is positive, a and also b are both positive. List all such integer bag that give product 49.
To settle the equation, aspect the left hand next by grouping. First, left hand side requirements to it is in rewritten as x^2+ax+bx+49. To discover a and also b, collection up a device to be solved.
Since abdominal is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all together integer bag that give product 49.
All equations of the type ax^2+bx+c=0 deserve to be addressed using the quadratic formula: \frac-b±\sqrtb^2-4ac2a. The quadratic formula gives two solutions, one when ± is enhancement and one when it is subtraction.
This equation is in typical form: ax^2+bx+c=0. Substitute 1 because that a, 14 for b, and 49 for c in the quadratic formula, \frac-b±\sqrtb^2-4ac2a.
Factor x^2+14x+49. In general, as soon as x^2+bx+c is a perfect square, it can always be factored as \left(x+\fracb2\right)^2.

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Quadratic equations such as this one have the right to be addressed by a brand-new direct factoring method that go not need guess work. To usage the straight factoring method, the equation need to be in the type x^2+Bx+C=0.
Let r and also s be the components for the quadratic equation such the x^2+Bx+C=(x−r)(x−s) where amount of determinants (r+s)=−B and the product of factors rs = C
Two numbers r and also s amount up to -14 exactly when the mean of the two numbers is \frac12*-14 = -7. You can also see the the midpoint the r and also s synchronizes to the axis of the contrary of the parabola stood for by the quadratic equation y=x^2+Bx+C. The worths of r and also s room equidistant indigenous the center by one unknown quantity u. Refer r and also s through respect to change u.
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