Answer:
2.\([ x = \dfrac{- 7 + \sqrt{929}}{4}, \ x = \dfrac{- 7 - \sqrt{929}}{4}]\)
Step-by-step explanation:
Apply Multiplicative Distribution Law:\(7 x + 2 x^{2} = 110\)
Rearrange all nonzero terms to the left side of the equation:\(7 x + 2 x^{2} - 110 = 0\)
Rearrange the terms in descending order:\(2 x^{2} + 7 x - 110 = 0\)
Identify the coefficients:\(a = 2,b = 7,c = - 110\)
Substitute into \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\):\(x = \dfrac{- 7 + \sqrt{7^{2} - 4 \times 2 \times (- 110)}}{2 \times 2} \) or \( x = \dfrac{- 7 - \sqrt{7^{2} - 4 \times 2 \times (- 110)}}{2 \times 2}\)
Calculate the power:\(x = \dfrac{- 7 + \sqrt{49 - 4 \times 2 \times (- 110)}}{2 \times 2}\)
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
1.Base of triangle will be of 17 cm
2.\([ x = \dfrac{- 7 + \sqrt{929}}{4}, \ x = \dfrac{- 7 - \sqrt{929}}{4}]\)
Step-by-step explanation:
2.Based on the given conditions, formulate: \(x \times ( 7 + 2 \times x ) = 110\)
Apply Multiplicative Distribution Law:\(7 x + 2 x^{2} = 110\)
Rearrange all nonzero terms to the left side of the equation:\(7 x + 2 x^{2} - 110 = 0\)
Rearrange the terms in descending order:\(2 x^{2} + 7 x - 110 = 0\)
Identify the coefficients:\(a = 2,b = 7,c = - 110\)
Substitute into \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\):\(x = \dfrac{- 7 + \sqrt{7^{2} - 4 \times 2 \times (- 110)}}{2 \times 2} \) or \( x = \dfrac{- 7 - \sqrt{7^{2} - 4 \times 2 \times (- 110)}}{2 \times 2}\)
Calculate the power:\(x = \dfrac{- 7 + \sqrt{49 - 4 \times 2 \times (- 110)}}{2 \times 2}\)