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ValentinkaMS [17]
3 years ago
12

Solve the equation with quadratic formula 15g2+17g-110=0

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

The solution of the quadratic equation 15g^{2}+ 17g - 110 = 0 are g = (-\frac{10}{3}, \frac{11}{5}).

Step-by-step explanation:

The quadratic equation is: 15g^{2}+ 17g - 110 = 0

Use factorization method to determine the roots of <em>g</em>.

Factor the equation 15g^{2}+ 17g - 110 = 0 as follows:

15g^{2}+ 17g - 110 = 0\\15g^{2}+ 50g - 33g - 110 = 0\\5g (3g + 10) - 11 (3g + 10) = 0\\(5g - 11) (3g + 10) = 0

First substitute (5g - 11) equal to 0 and solve for <em>g</em> as follows:

(5g - 11)=0\\5g=11\\g=\frac{11}{5}

Now, substitute (3g + 10)equal to 0 and solve for <em>g</em> as follows:

(3g + 10)=0\\3g=-10\\g=-\frac{10}{3}

So, the solution of the quadratic equation 15g^{2}+ 17g - 110 = 0 are g = (-\frac{10}{3}, \frac{11}{5})

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