The given expression is: 4x² - 17x + 18 = 0
Determine the two integers such that the sum is -17 and the product is 4 * 18 = 72. They are -9 and -8. We can decompose -17x to:
4x² - 9x - 8x + 18 = 0
Factor-by-grouping, we obtain:
x(4x - 9) - 2(4x - 9) = 0
Therefore, the factors are (4x - 9)(x - 2)
If we want to determine the zeroes of the expression, set each binomial by 0 and solve for x. We obtain:
4x - 9 = 0 and x - 2 = 0
x = 9/4 and x = 2.
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(2n - 3)(n - 6)
No, 18 is a multiple of 3. 3 is a factor of 18.
X^2 + 7X + 18 = 0 try the discriminant b^2 - 4ac 7^2 - 4(1)(18) 49 - 72 < 0 so, no real roots and no factors of 18 add to 7
16 + 16 + 16 + 17 + 18 + 18 + 18 + 19 + 19 + 20 + 20 + 20 + 21 = 238
If you're solving for b, then you use the quadratic formula to factor out b. In this case, b= -1/4 or -18/12