formula and sketch each detail of each line

formula and sketch each detail of each line

Solve for x and y

One of the roots of the equation 5x2−12x+c=0 is three times as big as the other root. Find the value of c. One of the roots of the equation 5x2−12x+c=0 is three times as big as the other...

3x2+bx+24=0, if one of its roots is 3 3x2+bx+24=0, if one of its roots is 3

Without solving the equation 5x2+13x−6=0 find the sum of the squares of its roots. Without solving the equation 5x2+13x−6=0 find the sum of the squares of its roots.

If one of the solutions to the equation: x2+3x+1=0, is a, then find 1/(a2+3a+10)

One of the roots of the equation 4x^2+bx+c=0 is 0.5. The other is equal to c. Find the value of b and c. One of the roots of the equation 4x2+bx+c=0 is 0.5. The other is equal...

2x^2+bx−10=0, if one of its roots is 5 2x2+bx−10=0, if one of its roots is 5

The difference between the roots of the equation 3x^2+bx+10=0 is equal to 4 1/3 . Find b. The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3...

can anyone help me with this?

2x^2-2x+9=0 I don't know what a discriminant is so I do not understand its purpose.

xy x+y if x=5+2 square root of 6 , y=5−2 squareroot of 6 xy x+y if x=5+2 6 , y=5−2...

You drop a pencil out a window that is 20 ft above the ground. Use the formula V2 = 64s, where V is the distance fallen, to calculate the speed the pencil is traveling when it hits the ground.

The quadratic equation x2-6kx+k2=0, where k is a positive constant, has roots α and β, with α>β. Show that α-β = 4√2k

Find the value of q, for which the difference between the roots in the equation x^2−10x+q=0 is equal to 6. Find the value of q, for which the difference between the roots in the equation x2−10x+q=0...

A positive integer is 29 more than 27 times another. Their product is 8296. Find the two integers.

I know how to figure it out, I don't know what to write for the sum of the solutions? Do I see if any of the two solutions make the problem true?

The following function gives the height, h metres, of a batted baseball as a function of the time, t seconds, since the ball was hit. h = -6(t-2.5)^2 + 38.5

One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c. One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c...

3x^2−10=0 3x2−10=0