To find the value of k when -3 is a zero of the quadratic equation 4x² - 3kx - 7, we can use the fact that if -3 is a zero, then substituting x = -3 into the equation should make it equal to zero.
Substituting x = -3 into the equation:
4(-3)² - 3k(-3) - 7 = 0
Simplifying:
36 + 9k - 7 = 0
9k + 29 = 0
To isolate k, we subtract 29 from both sides:
9k = -29
Dividing both sides by 9:
k = -29/9
Therefore, when -3 is a zero of the quadratic equation 4x² - 3kx - 7, the value of k is -29/9.
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To find the value of k when -3 is a zero of the quadratic equation 4x² - 3kx - 7, we can use the fact that if -3 is a zero, then substituting x = -3 into the equation should make it equal to zero.
Substituting x = -3 into the equation:
4(-3)² - 3k(-3) - 7 = 0
Simplifying:
36 + 9k - 7 = 0
9k + 29 = 0
To isolate k, we subtract 29 from both sides:
9k = -29
Dividing both sides by 9:
k = -29/9
Therefore, when -3 is a zero of the quadratic equation 4x² - 3kx - 7, the value of k is -29/9.