All equations of the size ax^2+bx+c=0 can be solved using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

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This equation is in standard form: ax^2+bx+c=0. Substitute 1 for a, -5 for b, và -7 for c in the quadratic formula, frac-b±sqrtb^2-4ac2a.

x2-5x-7=0 Two solutions were found : x =(5-√53)/2=-1.140 x =(5+√53)/2= 6.140 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-5x-7 The ...

2x2-5x-7=0 Two solutions were found : x = -1 x = 7/2 = 3.500 Step by step solution : Step 1 :Equation at the kết thúc of step 1 : (2x2 - 5x) - 7 = 0 Step 2 :Trying to lớn factor by splitting the ...

3x2-5x-7=0 Two solutions were found : x =(5-√109)/6=-0.907 x =(5+√109)/6= 2.573 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 5x) - 7 = 0 Step 2 :Trying to ...

8x2-5x-7=0 Two solutions were found : x =(5-√249)/16=-0.674 x =(5+√249)/16= 1.299 Step by step solution : Step 1 :Equation at the end of step 1 : (23x2 - 5x) - 7 = 0 Step 2 :Trying lớn ...

9x2-5x-7=0 Two solutions were found : x =(5-√277)/18=-0.647 x =(5+√277)/18= 1.202 Step by step solution : Step 1 :Equation at the end of step 1 : (32x2 - 5x) - 7 = 0 Step 2 :Trying to lớn ...

v2=u2+2ax No solutions found Rearrange: Rearrange the equation by subtracting what is lớn the right of the equal sign from both sides of the equation : v^2-(u^2+2*a*x)=0 ...

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All equations of the size ax^2+bx+c=0 can be solved using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

This equation is in standard form: ax^2+bx+c=0. Substitute 1 for a, -5 for b, and -7 for c in the quadratic formula, frac-b±sqrtb^2-4ac2a.

Quadratic equations such as this one can be solved by completing the square. In order lớn complete the square, the equation must first be in the form x^2+bx=c.

Divide -5, the coefficient of the x term, by 2 to lớn get -frac52. Then showroom the square of -frac52 lớn both sides of the equation. This step makes the left hand side of the equation a perfect square.

Factor x^2-5x+frac254. In general, when x^2+bx+c is a perfect square, it can always be factored as left(x+fracb2
ight)^2.

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Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Lớn use the direct factoring method, the equation must be in the khung x^2+Bx+C=0.

Let r & s be the factors for the quadratic equation such that x^2+Bx+C=(x−r)(x−s) where sum of factors (r+s)=−B & the product of factors rs = C

Two numbers r and s sum up khổng lồ 5 exactly when the average of the two numbers is frac12*5 = frac52. You can also see that the midpoint of r & s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. The values of r and s are equidistant from the center by an unknown quantity u. Express r and s with respect to lớn variable u.

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