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
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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