8x - 22 = 2x + 28x - 2x - 22 = 2x - 2x + 26x - 22 = 26x - 22 + 22 = 2+ 226x = 24x = 24/6 = 4
Straight to the quadratic equation. -b +/- sqrt(b^2 - 4ac)/2a 16 = a -24 = b 7 = c 24 +/- sqrt[ (-24)^2 - 4(16)(7)]/2(16) 24 +/-sqrt( 576-448)/32 24 +/- sqrt(128)/32 ( reduce fraction ) 3 +/- sqrt(128)/4 ( let us see about that mess under the radical )( like this!) 3 +/- sqrt( 4^2 * 2^2 * 2)/4 (4 and 2 come out and make 8) 3 +/- 8sqrt(2)/4 ( you finish)
13x-2+11x+1=95. 24x-1=95 24x=96 x=96/24 x=4 to check it you substitute 4 for x. so the equation would then be... 13(4)-2+11(4)+1=95 52-2+44+1=95 95=95
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
144
factor the trinomial 16x^2+24x+9
yes
x=-.25.
(4x + 3)(4x + 3) (4x + 3)2
34-132
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
(x^2) + 24x + 144 = -9 x = -12
Im assuming you mean x2 (x squared). This equation will be a quadratic. so... x2+144=-24x subtract -24x from itself and the other side -24x -24x ----------------- x2-24x+144=0 now break it down even further (x-12)(x-12)=0 Now you solve the "mini-equations" x-12=0 x-12=0 +12 +12 +12 +12 --------------------------- x=12 or x=12 hope it helps!!!
No real roots.
x2+24x+144 = 9 x2+24x+144-9 = 0 x2+24x+135 = 0 (x+9)(x+15) = 0 x = -9 or x = -15
30x2+25x-24x-20 = 30x2+x-20 = (6x+5)(5x-4) when factored
x2 + 24x +180 = 0 By using the quadratic equation, you can find that x = -12 + 6i or x = -12 - 6i