Equation Solved
@EquationSolved
Just your typical math nerd that hardly ever gets on...
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Factors of c that sum to b is 3 and -2. Therefore, it factors into this: (x + 3) (x - 2)
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we put them into a calculator and get about 2/5 for the first. for the other, we end up getting about 3/2. Equation Solved.
then we simplify more, and get x= [-11 +- sqr root (242)] over 20. then we split it apart to two equations to fins the two answers.
we simplify that, and get x= [-11 +- sqr root (121 + 40*6)] over 20.
then we plug those into the formula. we would get x= [-11+- sqr root (11-4*10*-6)] over 2*10
now we use the quadratic formula. we find a, b, and c to do that. a would equal 10, b=11, c=-6.
now we times everything by two to get rid of fractions. it should look like this: 10x² + 11x - 6 =0
we can see the parts of the equation are 3, -11/2x, and -5x², with 0 on the other side. we rearrange it to look like this: 5x²+11/2 x−3=0
solve for the x intercepts. (solution, zero, root, x-int) 3 − 11/2 x − 5x² = 0
which gets us 44. so there are 2 solutions. Equation Solved.
now we plug that into the discriminant; b*b - 4ac we need to keep in mind that if our answer is >0,2 solution; <0,no solution; =0,1 solution
now we can get what a, b, and c equal! comparing y=x*x-4x-7, and y=ax*x+bx+c, you can tell that 1 has the place of a, -4 as b, -7 as c.
for this equation you simply change 0 to y, and have them switch sides so it looks like this: y = x*x - 4x - 7
you need to find what a, b, and c equal. the quadratic equation is y=ax*x+bx+c, so lets put our equation into that formula.
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