That doesn't factor neatly. Applying the quadratic formula, we find two real solutions:
(59 plus or minus 2 times the square root of 58) divided by 9
x = 8.247949579080869
x = 4.863161532030243
9x2 + 7x = 2 9x2 + 7x - 2 = 0 9x2 + 9x - 2x - 2 = 0 9x(x + 1) - 2(x + 1) = 0 (9x - 2)(x + 1) = 0 x ∈ {-1, 2/9}
The discriminant is 0.
9x2 + 4y = 36∴ 4y = 36 - 9x2∴ y = 9 - 9x2/4also:∴ 9x2 = 36 - 4y∴ x2 = 4 - 4y/9∴ x = (4 - 4y/9)1/2This equation represents a parabolic curve, so we know it will intercept the y-axis at one point, and the x-axis at either zero or two points. Let's start with the x-axis:y = 9 - 9x2/4Let y = 0:∴ 0 = 9 - 9x2/4∴ 0 = 36 - 9x2∴ 9x2 = 36∴ x2 = 4∴ x = +/- 2So the curve intercepts the x axis at the points -2, 0 and 2, 0As for the y axis:x = (4 - 4y/9)1/2Let x = 0:∴ 0 = (4 - 4y/9)1/2∴ 0 = 4 - 4y/9∴ 0 = 45 - 4y∴ 4y = 45∴ y = 45/4 = 11 1/4So the curve intercepts the y axis at the point 0, 11.25
9x2+6x-7 = 0 Using the quadratic equation formula:- x = 0.6094757082 or x = -1.276142375
It can be simplified in the form of: 2x3+9x2-7x-34 = 0
9x2-9x = 0 x2-x = 0 x(x-1) = 0 x = 1 or x = 0
9x2 + 7x = 2 9x2 + 7x - 2 = 0 9x2 + 9x - 2x - 2 = 0 9x(x + 1) - 2(x + 1) = 0 (9x - 2)(x + 1) = 0 x ∈ {-1, 2/9}
It is: 0
The discriminant is 0.
9x2 + 4y = 36∴ 4y = 36 - 9x2∴ y = 9 - 9x2/4also:∴ 9x2 = 36 - 4y∴ x2 = 4 - 4y/9∴ x = (4 - 4y/9)1/2This equation represents a parabolic curve, so we know it will intercept the y-axis at one point, and the x-axis at either zero or two points. Let's start with the x-axis:y = 9 - 9x2/4Let y = 0:∴ 0 = 9 - 9x2/4∴ 0 = 36 - 9x2∴ 9x2 = 36∴ x2 = 4∴ x = +/- 2So the curve intercepts the x axis at the points -2, 0 and 2, 0As for the y axis:x = (4 - 4y/9)1/2Let x = 0:∴ 0 = (4 - 4y/9)1/2∴ 0 = 4 - 4y/9∴ 0 = 45 - 4y∴ 4y = 45∴ y = 45/4 = 11 1/4So the curve intercepts the y axis at the point 0, 11.25
9x2+6x-7 = 0 Using the quadratic equation formula:- x = 0.6094757082 or x = -1.276142375
The discriminant is 0.
If the question could more exactly be phrased as, "What is the value of x when 9x2 - 16 = 0", the answer is, x = 4 or -4. This answer can be found by factoring 9x2 - 16 into (3x + 4)(3x - 4) and setting each factor equal to zero.
It can be simplified in the form of: 2x3+9x2-7x-34 = 0
9x-53=6/x 9x2-53x=6 9x2-53x-6=0 9x2+x-54x-6=0 x(9x+1)-6(9x+1)=0 (9x+1)x(x-6)=0 9x+1=0 or x-6=0 9x=-1 or x=6 x=-1/9 or x=6
9x2 = 2x Get the 2x to the left side to get 9x2 - 2x = 0 Use cuadratic formula to solve for x knowing that c is 0 x = [ -b +- sqrt (b2-4ac) ]/2a
10