12p + 7*139 = 12p + 973
12p-15+8-4p = 89 12p-4p = 89+15-8 8p = 96 p = 12
17p+17q+p-7q-6p = 12p+17q
Do you mean: r = (4q-5p)/9? If so then: p = (9r-4q)/-5
The answer to 12 P plus 7 times 139 equals 39. This is taught in high school math.
The value of p is 1.4
12p + 7*139 = 12p + 973
12p-15+8-4p = 89 12p-4p = 89+15-8 8p = 96 p = 12
17p+17q+p-7q-6p = 12p+17q
10p and 14q or 2(5p + 7q)
12p < 96 12p / 12 < 96 / 12 p< 8
(3*5)+(4*-2) = 7
Do you mean: r = (4q-5p)/9? If so then: p = (9r-4q)/-5
Thanks, Ankur. Let x^2+px+q=0 be Eqn 1 (I have shortened q0 to q) Let x^2+lx+m=0 be Eqn 2 I use the ^ to mean raised to the power of i.e. p^2 means p squared I use * to mean multiply The two roots of Eqn 1 (using the quadratic formula) are x =[-p±sqrt(p^2-4q)]/2 or separately [-p+sqrt(p^2-4q)]/2 and [-p-sqrt(p^2-4q)]/2 The two roots of Eqn 2 are x =[-l±sqrt(l^2-4m)]/2 or separately [-l+sqrt(l^2-4m)]/2 and [-l-sqrt(l^2-4m)]/2 Now we are told that the ratio of the roots of the two equations are equal. So {[-p+sqrt(p^2-4q)]/2} / {[-p-sqrt(p^2-4q)]/2} = {[-l+sqrt(l^2-4m)]/2} / {[-l-sqrt(l^2-4m)]/2} Cancel out the denominator 2 and cross multiply and ==>[-p+sqrt(p^2-4q)] * [ -l-sqrt(l^2-4m)] = [-p-sqrt(p^2-4q)] * [-l+sqrt(l^2-4m)] Simplify by multiplying each side ==>lp + p*sqrt(l^2-4m) - l*sqrt(p^2-4q) + [sqrt(p^2-4q)]*(l^2-4m)] = lp - p*sqrt(l^2-4m) + l*sqrt(p^2-4q) + [sqrt(p^2-4q)]*(l^2-4m)] Now cancel out lp as it's on both side and cancel out [sqrt(p^2-4q)]*(l^2-4m) because that's on both sides. Simplify by bring like terms together and ==>2p*sqrt(l^2-4m) = 2l*sqrt(p^2-4q) Cancel out the 2 on each side and square each side. ==>p^2(l^2-4m) = l^2(p^2-4q) Simply by multiplying out ==>p^2*l^2 - 4m*p^2 = p^2l^2 - l^2*4q Cancel out p^2*l^2 ==>-4m*p^2 = -4q l^2 Cancel out the -4 and voila ++> mp^2 = ql^2 If there is a shorter solution, I'd love to see it.
First of all--- is it 12p -/+ 7=139, but I'll do both anyway. 1. 12p-7=139 this means you + 7 to both sides first, to get the variable(p) by itself. so the equation would be 12p=146. Next divide 12 from both sides and it leaves you with p=12.1666 -repeating of course. 2. 12p+7=139 means you subtract 7 from both sides to get 12p by itself again. the equation would then be 12p=132. divide 12 from both sides and you get- p=11(which is one of your answers) :) so the answer is d.11.
The answer to 12 P plus 7 times 139 equals 39. This is taught in high school math.
12p = 12 - p